32882768 has 30 divisors (see below), whose sum is σ = 67251834. Its totient is φ = 15573312.

The previous prime is 32882753. The next prime is 32882771. The reversal of 32882768 is 86728823.

It can be written as a sum of positive squares in only one way, i.e., 22202944 + 10679824 = 4712^2 + 3268^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2930 + ... + 8622.

Almost surely, 2^32882768 is an apocalyptic number.

32882768 is a gapful number since it is divisible by the number (38) 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 32882768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33625917).

32882768 is an abundant number, since it is smaller than the sum of its proper divisors (34369066).

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

32882768 is a wasteful number, since it uses less digits than its factorization.

32882768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5739 (or 5714 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The square root of 32882768 is about 5734.3498323698. The cubic root of 32882768 is about 320.3731584333.

The spelling of 32882768 in words is "thirty-two million, eight hundred eighty-two thousand, seven hundred sixty-eight".