33882768 has 60 divisors (see below), whose sum is σ = 100409868. Its totient is φ = 10629120.

The previous prime is 33882767. The next prime is 33882781. The reversal of 33882768 is 86728833.

It can be written as a sum of positive squares in 2 ways, for example, as 18766224 + 15116544 = 4332^2 + 3888^2 .

It is a super-2 number, since 2×33882768² = 2296083934683648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33882763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4473 + ... + 9368.

Almost surely, 2^33882768 is an apocalyptic number.

It is an amenable number.

33882768 is an abundant number, since it is smaller than the sum of its proper divisors (66527100).

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

33882768 is a wasteful number, since it uses less digits than its factorization.

33882768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13872 (or 13863 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 33882768 is about 5820.8906534997. The cubic root of 33882768 is about 323.5884119810.

The spelling of 33882768 in words is "thirty-three million, eight hundred eighty-two thousand, seven hundred sixty-eight".