91520928 has 240 divisors, whose sum is σ = 298577664. Its totient is φ = 27371520.

The previous prime is 91520909. The next prime is 91520939. The reversal of 91520928 is 82902519.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 91520892 and 91520901.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1365951 + ... + 1366017.

Almost surely, 2^91520928 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 91520928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149288832).

91520928 is an abundant number, since it is smaller than the sum of its proper divisors (207056736).

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

91520928 is a wasteful number, since it uses less digits than its factorization.

91520928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 91520928 is about 9566.6570963947. The cubic root of 91520928 is about 450.6507917022.

The spelling of 91520928 in words is "ninety-one million, five hundred twenty thousand, nine hundred twenty-eight".