2728764678272 has 16 divisors (see below), whose sum is σ = 5436210882750. Its totient is φ = 1364382339072.

The previous prime is 2728764678203. The next prime is 2728764678317.

2728764678272 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 2204322212416 + 524442465856 = 1484696^2 + 724184^2 .

It is a tau number, because it is divible by the number of its divisors (16).

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 as a sum of consecutive naturals, namely, 10659236897 + ... + 10659237152.

Almost surely, 2^{2728764678272} is an apocalyptic number.

It is an amenable number.

2728764678272 is a deficient number, since it is larger than the sum of its proper divisors (2707446204478).

2728764678272 is an equidigital number, since it uses as much as digits as its factorization.

2728764678272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21318474063 (or 21318474051 counting only the distinct ones).

The product of its digits is 354041856, while the sum is 68.

The spelling of 2728764678272 in words is "two trillion, seven hundred twenty-eight billion, seven hundred sixty-four million, six hundred seventy-eight thousand, two hundred seventy-two".