32883972 has 48 divisors (see below), whose sum is σ = 85979712. Its totient is φ = 9694080.

The previous prime is 32883959. The next prime is 32883979. The reversal of 32883972 is 27938823.

It is a super-2 number, since 2×32883972² = 2162711228993568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32883979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1518 + ... + 8250.

It is an arithmetic number, because the mean of its divisors is an integer number (1791244).

Almost surely, 2^32883972 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 32883972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42989856).

32883972 is an abundant number, since it is smaller than the sum of its proper divisors (53095740).

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

32883972 is a wasteful number, since it uses less digits than its factorization.

32883972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6788 (or 6786 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 32883972 is about 5734.4548127961. The cubic root of 32883972 is about 320.3770685317.

It can be divided in two parts, 3288 and 3972, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 32883972 in words is "thirty-two million, eight hundred eighty-three thousand, nine hundred seventy-two".