32538528 has 72 divisors (see below), whose sum is σ = 100953216. Its totient is φ = 9859200.

The previous prime is 32538511. The next prime is 32538533. The reversal of 32538528 is 82583523.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 32538492 and 32538501.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1968 + ... + 8303.

It is an arithmetic number, because the mean of its divisors is an integer number (1402128).

Almost surely, 2^32538528 is an apocalyptic number.

It is an amenable number.

32538528 is an abundant number, since it is smaller than the sum of its proper divisors (68414688).

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

32538528 is a wasteful number, since it uses less digits than its factorization.

32538528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10298 (or 10287 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 32538528 is about 5704.2552537557. The cubic root of 32538528 is about 319.2512703368.

It can be divided in two parts, 3253 and 8528, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 32538528 in words is "thirty-two million, five hundred thirty-eight thousand, five hundred twenty-eight".