2728668272 has 40 divisors (see below), whose sum is σ = 5775701760. Its totient is φ = 1238521280.

The previous prime is 2728668269. The next prime is 2728668281.

2728668272 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2728668272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115763 + ... + 137325.

It is an arithmetic number, because the mean of its divisors is an integer number (144392544).

Almost surely, 2^2728668272 is an apocalyptic number.

2728668272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2728668272 is an abundant number, since it is smaller than the sum of its proper divisors (3047033488).

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

2728668272 is a wasteful number, since it uses less digits than its factorization.

2728668272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22301 (or 22295 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 50.

The square root of 2728668272 is about 52236.6564014199. The cubic root of 2728668272 is about 1397.3876919016.

The spelling of 2728668272 in words is "two billion, seven hundred twenty-eight million, six hundred sixty-eight thousand, two hundred seventy-two".