Apparatus and method are disclosed for processing recyclable asphalt material. A drum has a polygonal cross-sectional configuration providing a plurality of substantially flat wall sides. Tubular breaker members within the drum are juxtaposed with corresponding flat wall sides. The relative location of the breaker members and the flat wall sides effects a cascading of recyclable asphalt material over the breaker members and between the breaker members and the flat wall sides as the drum is rotated so that recyclable asphalt material is tumbled within the drum, thereby simultaneously reducing the size of relatively large pieces to aggregate-sized pieces and heating the mass containing the desired aggregate-sized pieces for delivery of the heated mass from the drum.