33928965 has 48 divisors (see below), whose sum is σ = 70761600. Its totient is φ = 14691456.

The previous prime is 33928943. The next prime is 33928967. The reversal of 33928965 is 56982933.

It is not a de Polignac number, because 33928965 - 2⁷ = 33928837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 33928965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33928967) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3151 + ... + 8819.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^33928965 is an apocalyptic number.

33928965 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33928965 is an abundant number, since it is smaller than the sum of its proper divisors (36832635).

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

33928965 is a wasteful number, since it uses less digits than its factorization.

33928965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5706 (or 5703 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 33928965 is about 5824.8575089868. The cubic root of 33928965 is about 323.7354092697.

The spelling of 33928965 in words is "thirty-three million, nine hundred twenty-eight thousand, nine hundred sixty-five".