36468528 has 40 divisors (see below), whose sum is σ = 94660608. Its totient is φ = 12098112.

The previous prime is 36468527. The next prime is 36468529. The reversal of 36468528 is 82586463.

36468528 = 1052² + 1053² + ... + 1083².

It is an interprime number because it is at equal distance from previous prime (36468527) and next prime (36468529).

It is a super-3 number, since 3×36468528³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36468528.

It is not an unprimeable number, because it can be changed into a prime (36468521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9001 + ... + 12407.

Almost surely, 2^36468528 is an apocalyptic number.

It is an amenable number.

36468528 is an abundant number, since it is smaller than the sum of its proper divisors (58192080).

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

36468528 is a wasteful number, since it uses less digits than its factorization.

36468528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3635 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 36468528 is about 6038.9177838417. The cubic root of 36468528 is about 331.6190045677.

The spelling of 36468528 in words is "thirty-six million, four hundred sixty-eight thousand, five hundred twenty-eight".