32728475664 has 120 divisors (see below), whose sum is σ = 94660550712. Its totient is φ = 10549002240.

The previous prime is 32728475657. The next prime is 32728475687. The reversal of 32728475664 is 46657482723.

32728475664 is a `hidden beast` number, since 3 + 2 + 72 + 8 + 4 + 7 + 566 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68757264 + 32659718400 = 8292^2 + 180720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 32728475664.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642624 + ... + 691680.

Almost surely, 2^32728475664 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 32728475664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47330275356).

32728475664 is an abundant number, since it is smaller than the sum of its proper divisors (61932075048).

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

32728475664 is a wasteful number, since it uses less digits than its factorization.

32728475664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49225 (or 49216 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 32728475664 in words is "thirty-two billion, seven hundred twenty-eight million, four hundred seventy-five thousand, six hundred sixty-four".