33361728 has 56 divisors (see below), whose sum is σ = 90172032. Its totient is φ = 10881024.

The previous prime is 33361711. The next prime is 33361733. The reversal of 33361728 is 82716333.

It is a super-2 number, since 2×33361728² = 2226009790291968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7176 + ... + 10872.

Almost surely, 2^33361728 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 33361728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45086016).

33361728 is an abundant number, since it is smaller than the sum of its proper divisors (56810304).

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

33361728 is a wasteful number, since it uses less digits than its factorization.

33361728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3749 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 33361728 is about 5775.9612187064. The cubic root of 33361728 is about 321.9211514305.

The spelling of 33361728 in words is "thirty-three million, three hundred sixty-one thousand, seven hundred twenty-eight".