The integrated luminosities of the XYZ data samples collected in 2016-2017 at center-of-mass energies between 4.19 and 4.28 GeV are measured with a precision better than 1% by analyzing large-angle Bhabha scattering events. The integrated luminosities of the data sets collected in 2010-2014 are updated by considering an additional correction related to the detector performance. These results are essential for precision measurements of the production cross sections of the charmonium and charmonium-like states.