33028880 has 40 divisors (see below), whose sum is σ = 77250264. Its totient is φ = 13132800.

The previous prime is 33028871. The next prime is 33028927. The reversal of 33028880 is 8882033.

It can be written as a sum of positive squares in 4 ways, for example, as 35344 + 32993536 = 188^2 + 5744^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13340 + ... + 15620.

Almost surely, 2^33028880 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 33028880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38625132).

33028880 is an abundant number, since it is smaller than the sum of its proper divisors (44221384).

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

33028880 is a wasteful number, since it uses less digits than its factorization.

33028880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 33028880 is about 5747.0757781675. The cubic root of 33028880 is about 320.8469750014.

The spelling of 33028880 in words is "thirty-three million, twenty-eight thousand, eight hundred eighty".