88528440 has 384 divisors, whose sum is σ = 364654080. Its totient is φ = 16727040.

The previous prime is 88528421. The next prime is 88528463. The reversal of 88528440 is 4482588.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 95 ways as a sum of consecutive naturals, for example, 1321287 + ... + 1321353.

It is an arithmetic number, because the mean of its divisors is an integer number (949620).

Almost surely, 2^88528440 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 88528440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182327040).

88528440 is an abundant number, since it is smaller than the sum of its proper divisors (276125640).

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

88528440 is a wasteful number, since it uses less digits than its factorization.

88528440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 88528440 is about 9408.9553086408. The cubic root of 88528440 is about 445.6845752479.

The spelling of 88528440 in words is "eighty-eight million, five hundred twenty-eight thousand, four hundred forty".