92788896 has 96 divisors (see below), whose sum is σ = 253266048. Its totient is φ = 29721600.

The previous prime is 92788879. The next prime is 92788909. The reversal of 92788896 is 69888729.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536266 + ... + 536438.

It is an arithmetic number, because the mean of its divisors is an integer number (2638188).

Almost surely, 2^92788896 is an apocalyptic number.

92788896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92788896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126633024).

92788896 is an abundant number, since it is smaller than the sum of its proper divisors (160477152).

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

92788896 is a wasteful number, since it uses less digits than its factorization.

92788896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 57.

The square root of 92788896 is about 9632.6993101622. The cubic root of 92788896 is about 452.7224200849.

The spelling of 92788896 in words is "ninety-two million, seven hundred eighty-eight thousand, eight hundred ninety-six".