328646400000 has 288 divisors, whose sum is σ = 1095214433040. Its totient is φ = 87633920000.

The previous prime is 328646399981. The next prime is 328646400011. The reversal of 328646400000 is 4646823.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19191442 + ... + 19208558.

Almost surely, 2^328646400000 is an apocalyptic number.

328646400000 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 328646400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547607216520).

328646400000 is an abundant number, since it is smaller than the sum of its proper divisors (766568033040).

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

328646400000 is an frugal number, since it uses more digits than its factorization.

328646400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17167 (or 17127 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 328646400000 in words is "three hundred twenty-eight billion, six hundred forty-six million, four hundred thousand".