88033088 has 56 divisors (see below), whose sum is σ = 205252320. Its totient is φ = 36933120.

The previous prime is 88033079. The next prime is 88033103.

88033088 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4343 + ... + 13961.

It is an arithmetic number, because the mean of its divisors is an integer number (3665220).

Almost surely, 2^88033088 is an apocalyptic number.

88033088 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 88033088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102626160).

88033088 is an abundant number, since it is smaller than the sum of its proper divisors (117219232).

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

88033088 is a wasteful number, since it uses less digits than its factorization.

88033088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9655 (or 9645 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 88033088 is about 9382.5949502257. The cubic root of 88033088 is about 444.8517588959.

The spelling of 88033088 in words is "eighty-eight million, thirty-three thousand, eighty-eight".