33127728 has 80 divisors (see below), whose sum is σ = 91827456. Its totient is φ = 10264320.

The previous prime is 33127727. The next prime is 33127753. The reversal of 33127728 is 82772133.

Its product of digits (14112) is a multiple of the sum of its prime factors (882).

It is not an unprimeable number, because it can be changed into a prime (33127723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40443 + ... + 41253.

Almost surely, 2^33127728 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 33127728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45913728).

33127728 is an abundant number, since it is smaller than the sum of its proper divisors (58699728).

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

33127728 is a wasteful number, since it uses less digits than its factorization.

33127728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 876 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 33127728 is about 5755.6692052271. The cubic root of 33127728 is about 321.1667304758.

The spelling of 33127728 in words is "thirty-three million, one hundred twenty-seven thousand, seven hundred twenty-eight".