Same problem here,
GT-I9505 (Galaxy S4, International)
Android Version 4.2.2
Some digging around online hint that android version restrictions in the APK can cause the error.
I have uploaded the following pics to https://imgur.com/a/CGMCZ#0
Parse Error Message
Droid Security Settings
I included the AndroidManifest.xml to show the inclusion of:
where these (restrictions?) are not present in another APK which installed fine.
File permissions and ownership for both APKs are identical.
Also, no spare fuse with my MooshiMeter either :(