328890780100 has 27 divisors (see below), whose sum is σ = 713705437767. Its totient is φ = 131554018080.

The previous prime is 328890780089. The next prime is 328890780133. The reversal of 328890780100 is 1087098823.

The square root of 328890780100 is 573490.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1010858436 + 327879921664 = 31794^2 + 572608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5706226 + ... + 5763574.

Almost surely, 2^328890780100 is an apocalyptic number.

328890780100 is the 573490-th square number.

It is an amenable number.

328890780100 is an abundant number, since it is smaller than the sum of its proper divisors (384814657667).

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

328890780100 is an frugal number, since it uses more digits than its factorization.

328890780100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114712 (or 57356 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 328890780100 in words is "three hundred twenty-eight billion, eight hundred ninety million, seven hundred eighty thousand, one hundred".