33872928 has 96 divisors (see below), whose sum is σ = 96163200. Its totient is φ = 10427648.

The previous prime is 33872887. The next prime is 33872933. The reversal of 33872928 is 82927833.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33872928² = 2294750502586368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33872928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1168018 + ... + 1168046.

It is an arithmetic number, because the mean of its divisors is an integer number (1001700).

Almost surely, 2^33872928 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 33872928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48081600).

33872928 is an abundant number, since it is smaller than the sum of its proper divisors (62290272).

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

33872928 is an equidigital number, since it uses as much as digits as its factorization.

33872928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 57 counting only the distinct ones).

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

The square root of 33872928 is about 5820.0453606480. The cubic root of 33872928 is about 323.5570841759.

The spelling of 33872928 in words is "thirty-three million, eight hundred seventy-two thousand, nine hundred twenty-eight".