88233288 has 128 divisors (see below), whose sum is σ = 265144320. Its totient is φ = 24111360.

The previous prime is 88233269. The next prime is 88233289.

88233288 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×88233288² = 15570226222581888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 (88233289) 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, 161031 + ... + 161577.

It is an arithmetic number, because the mean of its divisors is an integer number (2071440).

Almost surely, 2^88233288 is an apocalyptic number.

88233288 is a gapful number since it is divisible by the number (88) 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 88233288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132572160).

88233288 is an abundant number, since it is smaller than the sum of its proper divisors (176911032).

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

88233288 is a wasteful number, since it uses less digits than its factorization.

88233288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 623 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 88233288 is about 9393.2575819042. The cubic root of 88233288 is about 445.1887227127.

The spelling of 88233288 in words is "eighty-eight million, two hundred thirty-three thousand, two hundred eighty-eight".