33728728 has 16 divisors (see below), whose sum is σ = 68990760. Its totient is φ = 15331200.

The previous prime is 33728693. The next prime is 33728729. The reversal of 33728728 is 82782733.

It is a super-2 number, since 2×33728728² = 2275254184995968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33728729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 191553 + ... + 191728.

Almost surely, 2^33728728 is an apocalyptic number.

It is an amenable number.

33728728 is an abundant number, since it is smaller than the sum of its proper divisors (35262032).

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

33728728 is a wasteful number, since it uses less digits than its factorization.

33728728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383298 (or 383294 counting only the distinct ones).

The product of its digits is 112896, while the sum is 40.

The square root of 33728728 is about 5807.6439284791. The cubic root of 33728728 is about 323.0972942211.

It can be divided in two parts, 3372 and 8728, that added together give a square (12100 = 110²).

The spelling of 33728728 in words is "thirty-three million, seven hundred twenty-eight thousand, seven hundred twenty-eight".