328008198400 has 81 divisors (see below), whose sum is σ = 811984963881. Its totient is φ = 131184952320.

The previous prime is 328008198373. The next prime is 328008198407. The reversal of 328008198400 is 4891800823.

The square root of 328008198400 is 572720.

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

It can be written as a sum of positive squares in only one way, i.e., 118082951424 + 209925246976 = 343632^2 + 458176^2 .

It is a super-2 number, since 2×328008198400² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (328008198407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45814021 + ... + 45821179.

Almost surely, 2^328008198400 is an apocalyptic number.

328008198400 is the 572720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328008198400

328008198400 is an abundant number, since it is smaller than the sum of its proper divisors (483976765481).

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

328008198400 is an frugal number, since it uses more digits than its factorization.

328008198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14344 (or 7166 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 328008198400 in words is "three hundred twenty-eight billion, eight million, one hundred ninety-eight thousand, four hundred".