36528 has 20 divisors (see below), whose sum is σ = 94488. Its totient is φ = 12160.

The previous prime is 36527. The next prime is 36529. The reversal of 36528 is 82563.

36528 = 17² + 18² + ... + 48².

It is an interprime number because it is at equal distance from previous prime (36527) and next prime (36529).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 36498 and 36507.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36528.

It is not an unprimeable number, because it can be changed into a prime (36523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 333 + ... + 428.

2³⁶⁵²⁸ is an apocalyptic number.

It is an amenable number.

36528 is an abundant number, since it is smaller than the sum of its proper divisors (57960).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47244).

36528 is a wasteful number, since it uses less digits than its factorization.

36528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 766 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 36528 is about 191.1229970464. The cubic root of 36528 is about 33.1799172103.

It can be divided in two parts, 365 and 28, that added together give a palindrome (393).

The spelling of 36528 in words is "thirty-six thousand, five hundred twenty-eight".