Odd radio circles (ORCs) are a recently recognized class of faint, roughly circular diffuse radio sources, typically a few hundred kiloparsecs across, whose origin is still debated. We report the serendipitous discovery of a giant ORC, ORC~J1928$-$5056, in 856~MHz continuum data from the ASKAP observations. The emission forms a single, mildly elliptical structure 4^ across, corresponding to $0.63$~Mpc at the redshift $z=0.1507$ of the central galaxy LEDA~140850, the brightest cluster galaxy of Abell~3639, which makes it one of the largest single ORCs known. After subtracting the radio nucleus associated with the host galaxy, the ORC has a flux density of 73~mJy integrated within an area of ~ 12~arcmin², i.e.\ a mean surface brightness of only $1.7$~$μ$Jy~arcsec⁻², and a rest-frame luminosity of L1.4=2×10²⁴~W~Hz⁻¹, comparable to those of the most luminous ORCs. Including its nucleus, the system reaches L1.4=6.6×10²⁴~W~Hz⁻¹, higher than that of any other ORC reported so far. The host is a massive (M_~10¹¹\,M_), passive elliptical galaxy with negligible star formation. It contains an AGN jet with a power-law spectrum of index α=-0.877±0.089 between 856 and 1656~MHz. Finally, we discuss the implications for ORC formation models and the observations needed to establish the nature of this system.
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