1328383809 has 9 divisors (see below), whose sum is σ = 1918934563. Its totient is φ = 885516312.

The previous prime is 1328383783. The next prime is 1328383853. The reversal of 1328383809 is 9083838231.

The square root of 1328383809 is 36447.

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., 1307039409 + 21344400 = 36153^2 + 4620^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1328383809 - 2²⁷ = 1194166081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1328381809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 103267 + ... + 115415.

Almost surely, 2^1328383809 is an apocalyptic number.

1328383809 is the 36447-th square number.

1328383809 is the 18224-th centered octagonal number.

It is an amenable number.

1328383809 is a deficient number, since it is larger than the sum of its proper divisors (590550754).

1328383809 is an frugal number, since it uses more digits than its factorization.

1328383809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24304 (or 12152 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The cubic root of 1328383809 is about 1099.2788135020.

The spelling of 1328383809 in words is "one billion, three hundred twenty-eight million, three hundred eighty-three thousand, eight hundred nine".