928028640 has 576 divisors, whose sum is σ = 3946537728. Its totient is φ = 180633600.

The previous prime is 928028627. The next prime is 928028653. The reversal of 928028640 is 46820829.

928028640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (928028627) and next prime (928028653).

It is a super-2 number, since 2×928028640² = 1722474313320499200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4398135 + ... + 4398345.

It is an arithmetic number, because the mean of its divisors is an integer number (6851628).

Almost surely, 2^928028640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 928028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973268864).

928028640 is an abundant number, since it is smaller than the sum of its proper divisors (3018509088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

928028640 is a wasteful number, since it uses less digits than its factorization.

928028640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 928028640 is about 30463.5624968584. The cubic root of 928028640 is about 975.4098263967.

The spelling of 928028640 in words is "nine hundred twenty-eight million, twenty-eight thousand, six hundred forty".