Analyzing several servers on a single PIWIK installation

I have several identical servers installed on schools and would like to analyze the more used applications
I am planning to have the Apache logs sent to a central location and have PIWIK analyze them.

Do you think it may work?

How could I do to separate the analytics of each server and have all analyzed from a single PIWIK installation?
Could it be possible to have aggregated statistics of all the servers?