33080328 has 48 divisors (see below), whose sum is σ = 90499500. Its totient is φ = 10915200.

The previous prime is 33080309. The next prime is 33080347. The reversal of 33080328 is 82308033.

33080328 is a `hidden beast` number, since 330 + 8 + 0 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (33080309) and next prime (33080347).

It can be written as a sum of positive squares in 2 ways, for example, as 27688644 + 5391684 = 5262^2 + 2322^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4998 + ... + 9546.

Almost surely, 2^33080328 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 33080328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45249750).

33080328 is an abundant number, since it is smaller than the sum of its proper divisors (57419172).

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

33080328 is a wasteful number, since it uses less digits than its factorization.

33080328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4662 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 33080328 is about 5751.5500519425. The cubic root of 33080328 is about 321.0134795050.

The spelling of 33080328 in words is "thirty-three million, eighty thousand, three hundred twenty-eight".