90325728 has 72 divisors (see below), whose sum is σ = 262368288. Its totient is φ = 29463552.

The previous prime is 90325717. The next prime is 90325733. The reversal of 90325728 is 82752309.

It is a happy number.

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 = 90325692 and 90325701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10200 + ... + 16872.

It is an arithmetic number, because the mean of its divisors is an integer number (3644004).

Almost surely, 2^90325728 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 90325728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131184144).

90325728 is an abundant number, since it is smaller than the sum of its proper divisors (172042560).

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

90325728 is a wasteful number, since it uses less digits than its factorization.

90325728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6736 (or 6725 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 90325728 is about 9503.9848484728. The cubic root of 90325728 is about 448.6804604085.

The spelling of 90325728 in words is "ninety million, three hundred twenty-five thousand, seven hundred twenty-eight".