27864623329 has 9 divisors (see below), whose sum is σ = 28235167443. Its totient is φ = 27498886272.

The previous prime is 27864623323. The next prime is 27864623411. The reversal of 27864623329 is 92332646872.

The square root of 27864623329 is 166927.

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., 26368225 + 27838255104 = 5135^2 + 166848^2 .

It is not a de Polignac number, because 27864623329 - 2³ = 27864623321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27864623321) 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, 13186177 + ... + 13188289.

It is an arithmetic number, because the mean of its divisors is an integer number (3137240827).

Almost surely, 2^27864623329 is an apocalyptic number.

27864623329 is the 166927-th square number.

27864623329 is the 83464-th centered octagonal number.

It is an amenable number.

27864623329 is a deficient number, since it is larger than the sum of its proper divisors (370544114).

27864623329 is an frugal number, since it uses more digits than its factorization.

27864623329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384 (or 2192 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 52.

The spelling of 27864623329 in words is "twenty-seven billion, eight hundred sixty-four million, six hundred twenty-three thousand, three hundred twenty-nine".