32852952 has 120 divisors (see below), whose sum is σ = 101385900. Its totient is φ = 9931680.

The previous prime is 32852923. The next prime is 32852971. The reversal of 32852952 is 25925823.

It is a super-2 number, since 2×32852952² = 2158632910228608, which contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 78199 + ... + 78617.

Almost surely, 2^32852952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32852952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50692950).

32852952 is an abundant number, since it is smaller than the sum of its proper divisors (68532948).

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

32852952 is a wasteful number, since it uses less digits than its factorization.

32852952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 435 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 32852952 is about 5731.7494711475. The cubic root of 32852952 is about 320.2762978256.

The spelling of 32852952 in words is "thirty-two million, eight hundred fifty-two thousand, nine hundred fifty-two".