2728778272 has 24 divisors (see below), whose sum is σ = 5860672272. Its totient is φ = 1240353600.

The previous prime is 2728778257. The next prime is 2728778281.

2728778272 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3875754 + ... + 3876457.

It is an arithmetic number, because the mean of its divisors is an integer number (244194678).

Almost surely, 2^2728778272 is an apocalyptic number.

2728778272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2728778272 is an abundant number, since it is smaller than the sum of its proper divisors (3131894000).

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

2728778272 is a wasteful number, since it uses less digits than its factorization.

2728778272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7752232 (or 7752224 counting only the distinct ones).

The product of its digits is 2458624, while the sum is 52.

The square root of 2728778272 is about 52237.7092912773. The cubic root of 2728778272 is about 1397.4064691421.

The spelling of 2728778272 in words is "two billion, seven hundred twenty-eight million, seven hundred seventy-eight thousand, two hundred seventy-two".