328128480625 has 45 divisors (see below), whose sum is σ = 450909888429. Its totient is φ = 238524330000.

The previous prime is 328128480613. The next prime is 328128480649. The reversal of 328128480625 is 526084821823.

It is a happy number.

The square root of 328128480625 is 572825.

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

It can be written as a sum of positive squares in 2 ways, for example, as 25725272881 + 302403207744 = 160391^2 + 549912^2 .

It is not a de Polignac number, because 328128480625 - 2³¹ = 325980996977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 157525834 + ... + 157527916.

Almost surely, 2^328128480625 is an apocalyptic number.

328128480625 is the 572825-th square number.

328128480625 is the 286413-rd centered octagonal number.

It is an amenable number.

328128480625 is a deficient number, since it is larger than the sum of its proper divisors (122781407804).

328128480625 is an frugal number, since it uses more digits than its factorization.

328128480625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

Multiplying 328128480625 by its sum of digits (49), we get a square (16078295550625 = 4009775²).

The spelling of 328128480625 in words is "three hundred twenty-eight billion, one hundred twenty-eight million, four hundred eighty thousand, six hundred twenty-five".