33930728 has 16 divisors (see below), whose sum is σ = 68514180. Its totient is φ = 15660288.

The previous prime is 33930679. The next prime is 33930731. The reversal of 33930728 is 82703933.

33930728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 25989604 + 7941124 = 5098^2 + 2818^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163025 + ... + 163232.

Almost surely, 2^33930728 is an apocalyptic number.

It is an amenable number.

33930728 is an abundant number, since it is smaller than the sum of its proper divisors (34583452).

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

33930728 is a wasteful number, since it uses less digits than its factorization.

33930728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326276 (or 326272 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 33930728 is about 5825.0088411950. The cubic root of 33930728 is about 323.7410164320.

The spelling of 33930728 in words is "thirty-three million, nine hundred thirty thousand, seven hundred twenty-eight".