33928048 has 40 divisors (see below), whose sum is σ = 81959040. Its totient is φ = 13218240.

The previous prime is 33928019. The next prime is 33928061. The reversal of 33928048 is 84082933.

It is a super-2 number, since 2×33928048² = 2302224882180608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 33927998 and 33928016.

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 7 ways as a sum of consecutive naturals, for example, 12538 + ... + 15001.

It is an arithmetic number, because the mean of its divisors is an integer number (2048976).

Almost surely, 2^33928048 is an apocalyptic number.

It is an amenable number.

33928048 is an abundant number, since it is smaller than the sum of its proper divisors (48030992).

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

33928048 is a wasteful number, since it uses less digits than its factorization.

33928048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27565 (or 27559 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 33928048 is about 5824.7787940831. The cubic root of 33928048 is about 323.7324927052.

The spelling of 33928048 in words is "thirty-three million, nine hundred twenty-eight thousand, forty-eight".