90033022728 has 72 divisors (see below), whose sum is σ = 268021885950. Its totient is φ = 27282731520.

The previous prime is 90033022699. The next prime is 90033022777. The reversal of 90033022728 is 82722033009.

It can be written as a sum of positive squares in only one way, i.e., 73689445764 + 16343576964 = 271458^2 + 127842^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 90033022692 and 90033022701.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5158473 + ... + 5175896.

Almost surely, 2^90033022728 is an apocalyptic number.

It is an amenable number.

90033022728 is an abundant number, since it is smaller than the sum of its proper divisors (177988863222).

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

90033022728 is a wasteful number, since it uses less digits than its factorization.

90033022728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10334403 (or 10334385 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 90033022728 in words is "ninety billion, thirty-three million, twenty-two thousand, seven hundred twenty-eight".