328878225 has 135 divisors (see below), whose sum is σ = 681627969. Its totient is φ = 156686400.

The previous prime is 328878217. The next prime is 328878247. The reversal of 328878225 is 522878823.

The square root of 328878225 is 18135.

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

It can be written as a sum of positive squares in 4 ways, for example, as 84768849 + 244109376 = 9207^2 + 15624^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 328878225 - 2³ = 328878217 is a prime.

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 134 ways as a sum of consecutive naturals, for example, 10608960 + ... + 10608990.

Almost surely, 2^328878225 is an apocalyptic number.

328878225 is the 18135-th square number.

328878225 is the 9068-th centered octagonal number.

It is an amenable number.

328878225 is an abundant number, since it is smaller than the sum of its proper divisors (352749744).

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

328878225 is a wasteful number, since it uses less digits than its factorization.

328878225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 52 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The cubic root of 328878225 is about 690.2584098279.

The spelling of 328878225 in words is "three hundred twenty-eight million, eight hundred seventy-eight thousand, two hundred twenty-five".