33728 has 28 divisors (see below), whose sum is σ = 73152. Its totient is φ = 15360.

The previous prime is 33721. The next prime is 33739. The reversal of 33728 is 82733.

It is a super-2 number, since 2×33728² = 2275155968, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1073 + ... + 1103.

2³³⁷²⁸ 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 33728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36576).

33728 is an abundant number, since it is smaller than the sum of its proper divisors (39424).

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

33728 is a wasteful number, since it uses less digits than its factorization.

33728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 50 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 33728 is about 183.6518445320. The cubic root of 33728 is about 32.3094969630.

The spelling of 33728 in words is "thirty-three thousand, seven hundred twenty-eight".