It has degree 4, with 28 vertices and 56 edges.
It has girth 4, diameter 5 and radius 5.
Its symmetry group has 112 elements.
It is bipartite.
It is Hamiltonian.
It is symmetric.
It is 1-arc-transitive.
Its distance-list is 1,4,5,4,4,4,4,2.
28-circulant(1,13) can be regarded as 7-cycle × 4-cycle