32928768 has 110 divisors (see below), whose sum is σ = 98579426. Its totient is φ = 10948608.

The previous prime is 32928761. The next prime is 32928773. The reversal of 32928768 is 86782923.

It can be written as a sum of positive squares in only one way, i.e., 29942784 + 2985984 = 5472^2 + 1728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32928761) 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 9 ways as a sum of consecutive naturals, for example, 82746 + ... + 83142.

Almost surely, 2^32928768 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 32928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49289713).

32928768 is an abundant number, since it is smaller than the sum of its proper divisors (65650658).

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

32928768 is an equidigital number, since it uses as much as digits as its factorization.

32928768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 402 counting only the distinct ones).

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

The square root of 32928768 is about 5738.3593474093. The cubic root of 32928768 is about 320.5224797905.

The spelling of 32928768 in words is "thirty-two million, nine hundred twenty-eight thousand, seven hundred sixty-eight".