90038628 has 30 divisors (see below), whose sum is σ = 235379606. Its totient is φ = 30012768.

The previous prime is 90038609. The next prime is 90038657. The reversal of 90038628 is 82683009.

It can be written as a sum of positive squares in only one way, i.e., 81324324 + 8714304 = 9018^2 + 2952^2 .

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 = 90038592 and 90038601.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 138625 + ... + 139272.

Almost surely, 2^90038628 is an apocalyptic number.

It is an amenable number.

90038628 is an abundant number, since it is smaller than the sum of its proper divisors (145340978).

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

90038628 is a wasteful number, since it uses less digits than its factorization.

90038628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277913 (or 277902 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 90038628 is about 9488.8686364603. The cubic root of 90038628 is about 448.2045794492.

The spelling of 90038628 in words is "ninety million, thirty-eight thousand, six hundred twenty-eight".