90528432 has 80 divisors (see below), whose sum is σ = 244651008. Its totient is φ = 28811520.

The previous prime is 90528413. The next prime is 90528433. The reversal of 90528432 is 23482509.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 90528393 and 90528402.

It is not an unprimeable number, because it can be changed into a prime (90528433) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 123138 + ... + 123870.

Almost surely, 2^90528432 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 90528432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122325504).

90528432 is an abundant number, since it is smaller than the sum of its proper divisors (154122576).

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

90528432 is a wasteful number, since it uses less digits than its factorization.

90528432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 90528432 is about 9514.6430306134. The cubic root of 90528432 is about 449.0158442697.

The spelling of 90528432 in words is "ninety million, five hundred twenty-eight thousand, four hundred thirty-two".