Here I am documenting my plight of installing and configuring an HP LaserJet MFP M28 M31 (all-in-one) printer / scanner with Linuxmint 19.1 using the current HPLIP 3.19.3 drivers from HP.
Printing seemed to work straight away. Scanning on the other hand took me a bit to figure out.
HPLIP system tray does not exist error on boot Use Preferences → Startup Applications and add delay
The dirty list of references: