You could use an SDR radio app used in conjunction with a USB USB digital TV (DVB-T) dongle with a RTL2832U chip. It should cover the radio frequencies covered by the Local Police Frequencies and FM, local HAMs etc and won't require an Internet Connection in the same manner as a Funcube dongle but won't cover SW, HF, MW and LW etc i.e. below 60MHz

https://play.google.com/store/apps/details?id=marto.androsdr2&hl=en

You may need the Andriod driver for other 3rd party Apps

https://play.google.com/store/apps/details?id=marto.rtl_tcp_andro&hl=en

other Apps for World Wide SW coverage can be used with Internet Access with;

https://play.google.com/store/apps/details?id=org.v1al&hl=en