328345600 has 216 divisors, whose sum is σ = 911718990. Its totient is φ = 117145600.

The previous prime is 328345553. The next prime is 328345603. The reversal of 328345600 is 6543823.

It can be written as a sum of positive squares in 3 ways, for example, as 273703936 + 54641664 = 16544^2 + 7392^2 .

It is not an unprimeable number, because it can be changed into a prime (328345603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6195174 + ... + 6195226.

Almost surely, 2^328345600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455859495).

328345600 is an abundant number, since it is smaller than the sum of its proper divisors (583373390).

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

328345600 is a wasteful number, since it uses less digits than its factorization.

328345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 328345600 is about 18120.3090481371. The cubic root of 328345600 is about 689.8855792907.

The spelling of 328345600 in words is "three hundred twenty-eight million, three hundred forty-five thousand, six hundred".