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How do I store part of a raw sweet potato?

Today's farm share included a three-pound piece of sweet potato with a cut end (so the tuber was originally even bigger, wow).  I can't eat all of that at once; how do I store it?  Can I put it in my root cellar along with the whole ones, or will the cut end cause a problem?  Since it's cut, do I now have to refrigerate it?  Is it better to wrap it tightly or give it some air?

I assume that the cut-off area might have to be sacrificed.  I don't want more of it to dry out or otherwise decline in quality.