88982928 has 160 divisors (see below), whose sum is σ = 277065600. Its totient is φ = 27247104.

The previous prime is 88982921. The next prime is 88982963. The reversal of 88982928 is 82928988.

It is a super-2 number, since 2×88982928² = 15835922950906368, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (88982921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303550 + ... + 303842.

It is an arithmetic number, because the mean of its divisors is an integer number (1731660).

Almost surely, 2^88982928 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 88982928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138532800).

88982928 is an abundant number, since it is smaller than the sum of its proper divisors (188082672).

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

88982928 is a wasteful number, since it uses less digits than its factorization.

88982928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 88982928 is about 9433.0762744717. The cubic root of 88982928 is about 446.4459601193.

The spelling of 88982928 in words is "eighty-eight million, nine hundred eighty-two thousand, nine hundred twenty-eight".