33800928 has 96 divisors (see below), whose sum is σ = 102332160. Its totient is φ = 9569280.

The previous prime is 33800903. The next prime is 33800939. The reversal of 33800928 is 82900833.

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

It is a super-2 number, since 2×33800928² = 2285005467322368, which contains 22 as substring.

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, 120148 + ... + 120428.

It is an arithmetic number, because the mean of its divisors is an integer number (1065960).

Almost surely, 2^33800928 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 33800928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51166080).

33800928 is an abundant number, since it is smaller than the sum of its proper divisors (68531232).

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

33800928 is a wasteful number, since it uses less digits than its factorization.

33800928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 33800928 is about 5813.8565513779. The cubic root of 33800928 is about 323.3276715155.

The spelling of 33800928 in words is "thirty-three million, eight hundred thousand, nine hundred twenty-eight".