88929792 has 160 divisors (see below), whose sum is σ = 301171200. Its totient is φ = 25380864.

The previous prime is 88929767. The next prime is 88929803. The reversal of 88929792 is 29792988.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96309 + ... + 97227.

It is an arithmetic number, because the mean of its divisors is an integer number (1882320).

Almost surely, 2^88929792 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 88929792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150585600).

88929792 is an abundant number, since it is smaller than the sum of its proper divisors (212241408).

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

88929792 is an equidigital number, since it uses as much as digits as its factorization.

88929792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 931 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 88929792 is about 9430.2593813744. The cubic root of 88929792 is about 446.3570776166.

The spelling of 88929792 in words is "eighty-eight million, nine hundred twenty-nine thousand, seven hundred ninety-two".