33038928 has 200 divisors, whose sum is σ = 107758728. Its totient is φ = 9704448.

The previous prime is 33038903. The next prime is 33038947. The reversal of 33038928 is 82983033.

It can be written as a sum of positive squares in 4 ways, for example, as 8714304 + 24324624 = 2952^2 + 4932^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33038892 and 33038901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 623350 + ... + 623402.

Almost surely, 2^33038928 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 33038928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53879364).

33038928 is an abundant number, since it is smaller than the sum of its proper divisors (74719800).

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

33038928 is a wasteful number, since it uses less digits than its factorization.

33038928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

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

The square root of 33038928 is about 5747.9498953975. The cubic root of 33038928 is about 320.8795075763.

The spelling of 33038928 in words is "thirty-three million, thirty-eight thousand, nine hundred twenty-eight".