90572328 has 288 divisors, whose sum is σ = 334601280. Its totient is φ = 21427200.

The previous prime is 90572327. The next prime is 90572369. The reversal of 90572328 is 82327509.

It is a happy number.

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 = 90572292 and 90572301.

It is not an unprimeable number, because it can be changed into a prime (90572323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2921673 + ... + 2921703.

It is an arithmetic number, because the mean of its divisors is an integer number (1161810).

Almost surely, 2^90572328 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 90572328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167300640).

90572328 is an abundant number, since it is smaller than the sum of its proper divisors (244028952).

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

90572328 is a wasteful number, since it uses less digits than its factorization.

90572328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

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

The square root of 90572328 is about 9516.9495112667. The cubic root of 90572328 is about 449.0884064258.

The spelling of 90572328 in words is "ninety million, five hundred seventy-two thousand, three hundred twenty-eight".