33928804 has 48 divisors (see below), whose sum is σ = 77390208. Its totient is φ = 12630528.

The previous prime is 33928801. The next prime is 33928831. The reversal of 33928804 is 40882933.

It is not an unprimeable number, because it can be changed into a prime (33928801) 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 15 ways as a sum of consecutive naturals, for example, 3447 + ... + 8929.

It is an arithmetic number, because the mean of its divisors is an integer number (1612296).

Almost surely, 2^33928804 is an apocalyptic number.

33928804 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33928804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38695104).

33928804 is an abundant number, since it is smaller than the sum of its proper divisors (43461404).

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

33928804 is a wasteful number, since it uses less digits than its factorization.

33928804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 33928804 is about 5824.8436888899. The cubic root of 33928804 is about 323.7348972050.

The spelling of 33928804 in words is "thirty-three million, nine hundred twenty-eight thousand, eight hundred four".