33324928 has 64 divisors (see below), whose sum is σ = 81738720. Its totient is φ = 13178880.

The previous prime is 33324899. The next prime is 33325007. The reversal of 33324928 is 82942333.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33324928² = 2221101652410368, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 33324893 and 33324902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10218 + ... + 13078.

Almost surely, 2^33324928 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 33324928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40869360).

33324928 is an abundant number, since it is smaller than the sum of its proper divisors (48413792).

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

33324928 is a wasteful number, since it uses less digits than its factorization.

33324928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2883 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The square root of 33324928 is about 5772.7747227828. The cubic root of 33324928 is about 321.8027417275.

The spelling of 33324928 in words is "thirty-three million, three hundred twenty-four thousand, nine hundred twenty-eight".