How can I edit the mime type of an uploaded file?

Plone 4.3 site with many uploaded (mostly PDF) files. Many of them have inappropriate mime types. We would like to check and if necessary correct the stored mime type for each file.

How can we do that? AFAICS we can only check the mime-types by monitoring Apache logs, and I can't see a way of editing that property on a file.

(I recall in earlier versions of Plone having the ability to see this and change it in the ZMI).