The properties of ultraluminous and hyperluminous galaxies are reviewed and it is argued that the majority of the far infrared radiation from these galaxies is powered by starbursts. The evidence that the starburst population is also seen in the sub-mJy radio source-counts is reviewed and a model for the source-counts from radio to X-rays is presented. Planned surveys at far infrared and submillimetre wavelengths are discussed. The nature of the galaxies in the Hubble Deep Field and their relationship with infrared starburst galaxies is briefly discussed.