32285952 has 126 divisors (see below), whose sum is σ = 97183002. Its totient is φ = 10699776.

The previous prime is 32285933. The next prime is 32285969. The reversal of 32285952 is 25958223.

It can be written as a sum of positive squares in only one way, i.e., 31539456 + 746496 = 5616^2 + 864^2 .

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186538 + ... + 186710.

Almost surely, 2^32285952 is an apocalyptic number.

32285952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32285952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48591501).

32285952 is an abundant number, since it is smaller than the sum of its proper divisors (64897050).

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

32285952 is an frugal number, since it uses more digits than its factorization.

32285952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 178 counting only the distinct ones).

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

The square root of 32285952 is about 5682.0728612013. The cubic root of 32285952 is about 318.4230751860.

It can be divided in two parts, 3228 and 5952, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 32285952 in words is "thirty-two million, two hundred eighty-five thousand, nine hundred fifty-two".