328164307200 has 756 divisors, whose sum is σ = 1251402058788. Its totient is φ = 85100544000.

The previous prime is 328164307151. The next prime is 328164307253. The reversal of 328164307200 is 2703461823.

It is a happy number.

328164307200 is a `hidden beast` number, since 3 + 2 + 8 + 1 + 643 + 0 + 7 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8387629056 + 319776678144 = 91584^2 + 565488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 172626250 + ... + 172628150.

Almost surely, 2^328164307200 is an apocalyptic number.

328164307200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328164307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625701029394).

328164307200 is an abundant number, since it is smaller than the sum of its proper divisors (923237751588).

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

328164307200 is an equidigital number, since it uses as much as digits as its factorization.

328164307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 328164307200 in words is "three hundred twenty-eight billion, one hundred sixty-four million, three hundred seven thousand, two hundred".