32928947640625 has 63 divisors (see below), whose sum is σ = 42655879446973. Its totient is φ = 25418705900000.

The previous prime is 32928947640601. The next prime is 32928947640637. The reversal of 32928947640625 is 52604674982923.

The square root of 32928947640625 is 5738375.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 27904499865841 + 5024447774784 = 5282471^2 + 2241528^2 .

It is not a de Polignac number, because 32928947640625 - 2²³ = 32928939252017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 20801608584 + ... + 20801610166.

Almost surely, 2^{32928947640625} is an apocalyptic number.

32928947640625 is the 5738375-th square number.

32928947640625 is the 2869188-th centered octagonal number.

It is an amenable number.

32928947640625 is a deficient number, since it is larger than the sum of its proper divisors (9726931806348).

32928947640625 is an frugal number, since it uses more digits than its factorization.

32928947640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 67.

The spelling of 32928947640625 in words is "thirty-two trillion, nine hundred twenty-eight billion, nine hundred forty-seven million, six hundred forty thousand, six hundred twenty-five".