93972928 has 56 divisors (see below), whose sum is σ = 217700352. Its totient is φ = 39408384.

The previous prime is 93972883. The next prime is 93973037. The reversal of 93972928 is 82927939.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×93972928² = 17661822393786368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18825 + ... + 23287.

Almost surely, 2^93972928 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 93972928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108850176).

93972928 is an abundant number, since it is smaller than the sum of its proper divisors (123727424).

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

93972928 is a wasteful number, since it uses less digits than its factorization.

93972928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4529 (or 4519 counting only the distinct ones).

The product of its digits is 489888, while the sum is 49.

The square root of 93972928 is about 9693.9634824978. The cubic root of 93972928 is about 454.6399405615.

The spelling of 93972928 in words is "ninety-three million, nine hundred seventy-two thousand, nine hundred twenty-eight".