96892928 has 144 divisors (see below), whose sum is σ = 235282320. Its totient is φ = 39649280.

The previous prime is 96892909. The next prime is 96892931. The reversal of 96892928 is 82929869.

It is a self number, because there is not a number n which added to its sum of digits gives 96892928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4212725 + ... + 4212747.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 2^96892928 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 96892928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117641160).

96892928 is an abundant number, since it is smaller than the sum of its proper divisors (138389392).

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

96892928 is a wasteful number, since it uses less digits than its factorization.

96892928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 53.

The square root of 96892928 is about 9843.4205436931. The cubic root of 96892928 is about 459.3009672480.

The spelling of 96892928 in words is "ninety-six million, eight hundred ninety-two thousand, nine hundred twenty-eight".