328005825 has 48 divisors (see below), whose sum is σ = 625674240. Its totient is φ = 148518720.

The previous prime is 328005749. The next prime is 328005833. The reversal of 328005825 is 528500823.

It is not a de Polignac number, because 328005825 - 2¹⁰ = 328004801 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53256 + ... + 59094.

It is an arithmetic number, because the mean of its divisors is an integer number (13034880).

Almost surely, 2^328005825 is an apocalyptic number.

328005825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

328005825 is a deficient number, since it is larger than the sum of its proper divisors (297668415).

328005825 is a wasteful number, since it uses less digits than its factorization.

328005825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5966 (or 5961 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 328005825 is about 18110.9310914707. The cubic root of 328005825 is about 689.6475305454.

The spelling of 328005825 in words is "three hundred twenty-eight million, five thousand, eight hundred twenty-five".