33328296 has 96 divisors (see below), whose sum is σ = 97142760. Its totient is φ = 10285056.

The previous prime is 33328291. The next prime is 33328297. The reversal of 33328296 is 69282333.

It can be written as a sum of positive squares in 4 ways, for example, as 32148900 + 1179396 = 5670^2 + 1086^2 .

It is a super-2 number, since 2×33328296² = 2221550628527232, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 33328296.

It is not an unprimeable number, because it can be changed into a prime (33328291) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 89166 + ... + 89538.

Almost surely, 2^33328296 is an apocalyptic number.

33328296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33328296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48571380).

33328296 is an abundant number, since it is smaller than the sum of its proper divisors (63814464).

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

33328296 is a wasteful number, since it uses less digits than its factorization.

33328296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 468 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 33328296 is about 5773.0664295502. The cubic root of 33328296 is about 321.8135824123.

It can be divided in two parts, 3332 and 8296, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 33328296 in words is "thirty-three million, three hundred twenty-eight thousand, two hundred ninety-six".