328733662609 has 27 divisors (see below), whose sum is σ = 369520109371. Its totient is φ = 292226557040.

The previous prime is 328733662603. The next prime is 328733662619. The reversal of 328733662609 is 906266337823.

The square root of 328733662609 is 573353.

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., 5313972609 + 323419690000 = 72897^2 + 568700^2 .

It is not a de Polignac number, because 328733662609 - 2³ = 328733662601 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 328733662609.

It is not an unprimeable number, because it can be changed into a prime (328733662601) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 296422947 + ... + 296424055.

Almost surely, 2^328733662609 is an apocalyptic number.

328733662609 is the 573353-rd square number.

328733662609 is the 286677-th centered octagonal number.

It is an amenable number.

328733662609 is a deficient number, since it is larger than the sum of its proper divisors (40786446762).

328733662609 is an frugal number, since it uses more digits than its factorization.

328733662609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 55.

The spelling of 328733662609 in words is "three hundred twenty-eight billion, seven hundred thirty-three million, six hundred sixty-two thousand, six hundred nine".