328201546400 has 288 divisors, whose sum is σ = 1038024812160. Its totient is φ = 98403102720.

The previous prime is 328201546399. The next prime is 328201546403. The reversal of 328201546400 is 4645102823.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (328201546403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1264562 + ... + 1501838.

It is an arithmetic number, because the mean of its divisors is an integer number (3604252820).

Almost surely, 2^328201546400 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 328201546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519012406080).

328201546400 is an abundant number, since it is smaller than the sum of its proper divisors (709823265760).

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

328201546400 is a wasteful number, since it uses less digits than its factorization.

328201546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237336 (or 237323 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 328201546400 in words is "three hundred twenty-eight billion, two hundred one million, five hundred forty-six thousand, four hundred".