328441596313600 has 1536 divisors, whose sum is σ = 1095721880025600. Its totient is φ = 94515285196800.

The previous prime is 328441596313559. The next prime is 328441596313613. The reversal of 328441596313600 is 6313695144823.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56833635511 + ... + 56833641289.

It is an arithmetic number, because the mean of its divisors is an integer number (713360598975).

Almost surely, 2^{328441596313600} 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 328441596313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547860940012800).

328441596313600 is an abundant number, since it is smaller than the sum of its proper divisors (767280283712000).

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

328441596313600 is a wasteful number, since it uses less digits than its factorization.

328441596313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5907 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 55.

The spelling of 328441596313600 in words is "three hundred twenty-eight trillion, four hundred forty-one billion, five hundred ninety-six million, three hundred thirteen thousand, six hundred".