90288432 has 200 divisors, whose sum is σ = 294918624. Its totient is φ = 26459136.

The previous prime is 90288431. The next prime is 90288439. The reversal of 90288432 is 23488209.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90288431) 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 39 ways as a sum of consecutive naturals, for example, 387388 + ... + 387620.

Almost surely, 2^90288432 is an apocalyptic number.

90288432 is a gapful number since it is divisible by the number (92) 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 90288432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147459312).

90288432 is an abundant number, since it is smaller than the sum of its proper divisors (204630192).

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

90288432 is a wasteful number, since it uses less digits than its factorization.

90288432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 90288432 is about 9502.0225215477. The cubic root of 90288432 is about 448.6186976803.

The spelling of 90288432 in words is "ninety million, two hundred eighty-eight thousand, four hundred thirty-two".