32972728320 has 672 divisors, whose sum is σ = 135778930560. Its totient is φ = 7524679680.

The previous prime is 32972728319. The next prime is 32972728333. The reversal of 32972728320 is 2382727923.

32972728320 is a `hidden beast` number, since 329 + 7 + 27 + 283 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 52254405 + ... + 52255035.

It is an arithmetic number, because the mean of its divisors is an integer number (202051980).

Almost surely, 2^32972728320 is an apocalyptic number.

32972728320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32972728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67889465280).

32972728320 is an abundant number, since it is smaller than the sum of its proper divisors (102806202240).

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

32972728320 is an frugal number, since it uses more digits than its factorization.

32972728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 32972728320 in words is "thirty-two billion, nine hundred seventy-two million, seven hundred twenty-eight thousand, three hundred twenty".