33413328 has 90 divisors (see below), whose sum is σ = 101331126. Its totient is φ = 10273536.

The previous prime is 33413323. The next prime is 33413333. The reversal of 33413328 is 82331433.

33413328 is a `hidden beast` number, since 334 + 1 + 3 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (33413323) and next prime (33413333).

It can be written as a sum of positive squares in 3 ways, for example, as 3732624 + 29680704 = 1932^2 + 5448^2 .

It is a super-2 number, since 2×33413328² = 2232900976071168, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33413323) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23650 + ... + 25022.

Almost surely, 2^33413328 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 33413328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50665563).

33413328 is an abundant number, since it is smaller than the sum of its proper divisors (67917798).

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

33413328 is a wasteful number, since it uses less digits than its factorization.

33413328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1391 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 33413328 is about 5780.4262818585. The cubic root of 33413328 is about 322.0870358707.

The spelling of 33413328 in words is "thirty-three million, four hundred thirteen thousand, three hundred twenty-eight".