88528896 has 96 divisors (see below), whose sum is σ = 262407600. Its totient is φ = 29491200.

The previous prime is 88528861. The next prime is 88528897. The reversal of 88528896 is 69882588.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88528897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54496 + ... + 56096.

Almost surely, 2^88528896 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 88528896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131203800).

88528896 is an abundant number, since it is smaller than the sum of its proper divisors (173878704).

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

88528896 is a wasteful number, since it uses less digits than its factorization.

88528896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1606 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 88528896 is about 9408.9795408429. The cubic root of 88528896 is about 445.6853404703.

The spelling of 88528896 in words is "eighty-eight million, five hundred twenty-eight thousand, eight hundred ninety-six".