91872928 has 48 divisors (see below), whose sum is σ = 213857280. Its totient is φ = 38013696.

The previous prime is 91872917. The next prime is 91872931. The reversal of 91872928 is 82927819.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 576 + ... + 13567.

It is an arithmetic number, because the mean of its divisors is an integer number (4455360).

Almost surely, 2^91872928 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 91872928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106928640).

91872928 is an abundant number, since it is smaller than the sum of its proper divisors (121984352).

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

91872928 is a wasteful number, since it uses less digits than its factorization.

91872928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14189 (or 14181 counting only the distinct ones).

The product of its digits is 145152, while the sum is 46.

The square root of 91872928 is about 9585.0366718130. The cubic root of 91872928 is about 451.2278041481.

The spelling of 91872928 in words is "ninety-one million, eight hundred seventy-two thousand, nine hundred twenty-eight".