32968728 has 128 divisors (see below), whose sum is σ = 100800000. Its totient is φ = 9922176.

The previous prime is 32968721. The next prime is 32968759. The reversal of 32968728 is 82786923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32968721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165573 + ... + 165771.

It is an arithmetic number, because the mean of its divisors is an integer number (787500).

Almost surely, 2^32968728 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 32968728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400000).

32968728 is an abundant number, since it is smaller than the sum of its proper divisors (67831272).

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

32968728 is a wasteful number, since it uses less digits than its factorization.

32968728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 32968728 is about 5741.8401231661. The cubic root of 32968728 is about 320.6520817725.

The spelling of 32968728 in words is "thirty-two million, nine hundred sixty-eight thousand, seven hundred twenty-eight".