88691328 has 128 divisors (see below), whose sum is σ = 285681600. Its totient is φ = 26864640.

The previous prime is 88691311. The next prime is 88691347. The reversal of 88691328 is 82319688.

It is a tau number, because it is divible by the number of its divisors (128).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36850 + ... + 39182.

Almost surely, 2^88691328 is an apocalyptic number.

88691328 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 88691328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142840800).

88691328 is an abundant number, since it is smaller than the sum of its proper divisors (196990272).

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

88691328 is a wasteful number, since it uses less digits than its factorization.

88691328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2349 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 88691328 is about 9417.6073394467. The cubic root of 88691328 is about 445.9577537119.

The spelling of 88691328 in words is "eighty-eight million, six hundred ninety-one thousand, three hundred twenty-eight".