Did that for a while. Eight of us, you started out as OCA8, meaning you'd be the 8th guy to get called. Next week OCA7 and all the way down to OCA1 and then back to 8. OCA2 meant you'd get called a couple of times a week. OCA1 meant you'd get called at least 5 times per week working through most of the night. Sucked.
That said, we had a guy we hated so much. He got moved to be our night shift guy. Then an incident happened and he got fired. That meant OCA1 worked night shift and OCA2 was basically the same as a normal OCA1. We were ok with that just to get that guy out of there. It still wore on you and I left that job.
Went to a job where I was the only admin. Yea, that had a different kind of suck. I got called less per week, but it was always just me, my cell phone, my email, and my alert system.
But now....gotta brag. We've got a day shift that I'm on, an evening shift, and then our night is covered by the day shift at our UK office. ZERO on call. It's so nice to be able to leave work and not think about it till my shift starts the next day at 7am. Took me three weeks to stop checking my phone for alerts all the time. Of course, there were the two doubles in a row I worked this week thanks to heart bleed, but I'm ok with emergencies. It was the calls at my last job where the owner's kids couldn't print from their ipad that sucked.
Right now, no matter how bad my day sucks, I know it ends when my shift ends. I have to say, I LOVE that.