328724489025 has 189 divisors, whose sum is σ = 636141499833. Its totient is φ = 168425827200.

The previous prime is 328724489017. The next prime is 328724489029. The reversal of 328724489025 is 520984427823.

The square root of 328724489025 is 573345.

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

328724489025 is a `hidden beast` number, since 3 + 28 + 72 + 448 + 90 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 959078961 + 327765410064 = 30969^2 + 572508^2 .

It is not a de Polignac number, because 328724489025 - 2³ = 328724489017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (328724489029) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 2399448757 + ... + 2399448893.

Almost surely, 2^328724489025 is an apocalyptic number.

328724489025 is the 573345-th square number.

328724489025 is the 286673-rd centered octagonal number.

It is an amenable number.

328724489025 is a deficient number, since it is larger than the sum of its proper divisors (307417010808).

328724489025 is an frugal number, since it uses more digits than its factorization.

328724489025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 328724489025 in words is "three hundred twenty-eight billion, seven hundred twenty-four million, four hundred eighty-nine thousand, twenty-five".