879164928 has 400 divisors, whose sum is σ = 2941084080. Its totient is φ = 260112384.

The previous prime is 879164893. The next prime is 879164977. The reversal of 879164928 is 829461978.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 20445675 + ... + 20445717.

Almost surely, 2^879164928 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 879164928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470542040).

879164928 is an abundant number, since it is smaller than the sum of its proper divisors (2061919152).

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

879164928 is a wasteful number, since it uses less digits than its factorization.

879164928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 879164928 is about 29650.7154719747. The cubic root of 879164928 is about 957.9807557410.

The spelling of 879164928 in words is "eight hundred seventy-nine million, one hundred sixty-four thousand, nine hundred twenty-eight".