ES File Explorer

 
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Charlie. Nuvi 265 WT and Nuvi 2597 LMT. Android Here WeGo - Offline Maps & GPS.

ES File Explorer is full of win

I'd recommend it not just for tablet users but smartphone users too--I've used this as my preferred file browser for the better part of a year, both because it can be used as a root browser (and regular file browser) and because one can use it easily to transfer files between Android and Windows servers grin

Also...

AntTek Explorer (does drag & drop operations)
https://play.google.com/store/apps/details?id=com.anttek.exp...
File Manager HD (calculates space used)
https://play.google.com/store/apps/details?id=com.rhmsoft.fm...
Storage Analyzer (calculates space used)
https://play.google.com/store/apps/details?id=com.levelokmen...