33928164 has 18 divisors (see below), whose sum is σ = 85762950. Its totient is φ = 11309376.

The previous prime is 33928157. The next prime is 33928207. The reversal of 33928164 is 46182933.

It can be written as a sum of positive squares in only one way, i.e., 22638564 + 11289600 = 4758^2 + 3360^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×33928164² = 2302240624821792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 942449 = 33928164 / (3 + 3 + 9 + 2 + 8 + 1 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 471189 + ... + 471260.

Almost surely, 2^33928164 is an apocalyptic number.

It is an amenable number.

33928164 is an abundant number, since it is smaller than the sum of its proper divisors (51834786).

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

33928164 is a wasteful number, since it uses less digits than its factorization.

33928164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942459 (or 942454 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 33928164 is about 5824.7887515343. The cubic root of 33928164 is about 323.7328616520.

The spelling of 33928164 in words is "thirty-three million, nine hundred twenty-eight thousand, one hundred sixty-four".