Is Mackeeper an Apple product?

"MacKeeper" is not an Apple product.

Do not install MacKeeper (and how to uninstall it if you have):

https://discussions.apple.com/docs/DOC-6221

It contains a major security flaw, recently noted:

http://www.macnn.com/articles/15/05/08/contentious.utility.ignored.apple.guideli nes.created.zero.day.exploit.128538/

There is currently a class-action against MacKeeper:

http://www.macworld.com/article/2927032/ads-for-mackeeper-refunds-will-run-on-fa cebook.html#tk.nl_mwbest

(Please note that references to the original developers, Zeobit, also now refer to Kromtech Alliance Corp, who acquired MacKeeper and PCKeeper from ZeoBit LLC in early 2013.)

No,