88511328 has 72 divisors (see below), whose sum is σ = 256019400. Its totient is φ = 28998144.

The previous prime is 88511327. The next prime is 88511377. The reversal of 88511328 is 82311588.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 88511292 and 88511301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88511323) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14388 + ... + 19596.

It is an arithmetic number, because the mean of its divisors is an integer number (3555825).

Almost surely, 2^88511328 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 88511328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128009700).

88511328 is an abundant number, since it is smaller than the sum of its proper divisors (167508072).

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

88511328 is a wasteful number, since it uses less digits than its factorization.

88511328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5284 (or 5273 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 88511328 is about 9408.0459182553. The cubic root of 88511328 is about 445.6558573734.

The spelling of 88511328 in words is "eighty-eight million, five hundred eleven thousand, three hundred twenty-eight".