This depends on the company. At mine, I (as a dev) might get paged when there's an issue with my website, but I can forward the call on to, say, the web servers team (meaning they get paged) if it's ultimately to do with their config.
Don't even get me started on this. I worked at a place where I noticed an account getting added to Domain Admins over a holiday. I attempted to call the head infrastructure guy - who didn't pick up. Later I found out the reason why he didn't pick up was because he didn't recognize the number.
Granted - I probably could have left a VM and he probably would have called me back...but I would kind of expect him to pick up on a phone that was paid for by the company...
This depends on the company. At mine, I (as a dev) might get paged when there's an issue with my website, but I can forward the call on to, say, the web servers team (meaning they get paged) if it's ultimately to do with their config.