32728308160 has 112 divisors (see below), whose sum is σ = 81419346432. Its totient is φ = 12507264000.

The previous prime is 32728308083. The next prime is 32728308191. The reversal of 32728308160 is 6180382723.

It is a super-2 number, since 2×32728308160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7733245 + ... + 7737475.

Almost surely, 2^32728308160 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 32728308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40709673216).

32728308160 is an abundant number, since it is smaller than the sum of its proper divisors (48691038272).

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

32728308160 is a wasteful number, since it uses less digits than its factorization.

32728308160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322 (or 5312 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 32728308160 in words is "thirty-two billion, seven hundred twenty-eight million, three hundred eight thousand, one hundred sixty".