33828928 has 28 divisors (see below), whose sum is σ = 76720192. Its totient is φ = 14497920.

The previous prime is 33828887. The next prime is 33828931. The reversal of 33828928 is 82982833.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×33828928² = 2288792739258368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37308 + ... + 38203.

Almost surely, 2^33828928 is an apocalyptic number.

It is an amenable number.

33828928 is an abundant number, since it is smaller than the sum of its proper divisors (42891264).

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

33828928 is an equidigital number, since it uses as much as digits as its factorization.

33828928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75530 (or 75520 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The square root of 33828928 is about 5816.2640930412. The cubic root of 33828928 is about 323.4169262260.

The spelling of 33828928 in words is "thirty-three million, eight hundred twenty-eight thousand, nine hundred twenty-eight".