33938928 has 60 divisors (see below), whose sum is σ = 95517448. Its totient is φ = 11249280.

The previous prime is 33938887. The next prime is 33938951. The reversal of 33938928 is 82983933.

33938928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 29826 + ... + 30942.

Almost surely, 2^33938928 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 33938928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47758724).

33938928 is an abundant number, since it is smaller than the sum of its proper divisors (61578520).

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

33938928 is a wasteful number, since it uses less digits than its factorization.

33938928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1333 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 33938928 is about 5825.7126602674. The cubic root of 33938928 is about 323.7670937045.

It can be divided in two parts, 3393 and 8928, that added together give a palindrome (12321).

The spelling of 33938928 in words is "thirty-three million, nine hundred thirty-eight thousand, nine hundred twenty-eight".