328099840000 has 225 divisors, whose sum is σ = 824568480967. Its totient is φ = 130506752000.

The previous prime is 328099839953. The next prime is 328099840049. The reversal of 328099840000 is 48990823.

It is a happy number.

The square root of 328099840000 is 572800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 25723027456 + 302376812544 = 160384^2 + 549888^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1832959911 + ... + 1832960089.

Almost surely, 2^328099840000 is an apocalyptic number.

328099840000 is the 572800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328099840000

328099840000 is an abundant number, since it is smaller than the sum of its proper divisors (496468640967).

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

328099840000 is an frugal number, since it uses more digits than its factorization.

328099840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 328099840000 in words is "three hundred twenty-eight billion, ninety-nine million, eight hundred forty thousand".