WPA/WPA2 broadcast key rotation on a controller

This one is (IMHO) way beyond what you should need to remember for the exam, but I actually dreamed about it last night, so I though I should share the fun!
Special dedication to Kyle, he is the one who raised this issue and found the solution.... :-)
So here is the deal: when you use WPA or WPA2, your wireless client gets 2 keys: one unicast key, for its own traffic to and from the AP, and one broadcast key, which is a common key for all clients in the same cell. This broadcast key is used when the AP sends broadcast messages to all clients in the cell, so it's a shared key.
You may want to rotate those keys, change them every now and then so that a wannabee hacker would not have enough packets using a specific key to even dream of running an attack against your encryption scheme.
Changing the unicast key can be done by setting the EAP session, everytime the session is renewed, so is the unicast key... but the broadcast key is not, because it is shared. On the autonomous APs, you can rotate the broadcast keys from the Security > Encryption Manager page:

You can enable rotation at regular intervals. The gotcha here is that only 802.1X clients can join a network that has this feature enabled.
When using WPA, you can also enable key rotation "on membership termination" (every time a client leaves the cell, the key is rotated for the clients still in the cell), or on "membership capability change" (everytime a client using static WEP enters or leaves the cell, the key is rotated).

Ok, but what about the controllers? How to rotate the broadcast key on the WLC? There is no checkbox, and no CLI command for that... the key is rotated every hour... what? I want this feature for my clients security!!
Kyle found this nice info:

CSCsi27596—The controller lacks a supported way to configure the broadcast key rotation interval. Instead, it is hardcoded to a group key rotation interval of 3600 seconds (1 hour).

Workaround: On the console, configure the hidden command devshell dot1xUpdateBroadcastRekeyTimer(seconds). This command does not work in an SSH or Telnet session and does not survive a reboot.

Example:

(Cisco Controller) >devshell dot1xUpdateBroadcastRekeyTimer(86400)

value = 0 = 0x0

I dreamed of it because the example, instead of rotating the key every hour, seems to rotates it every... day (unless 8600 is the max value)! Wow, nice and a lot more secure!

I hope you don't need that for the lab, because this is pushing the system to its limit (and I hope you won't dream of it), but it is fun to know (or at least to know where to find it)...

:-)