2728118272 has 144 divisors (see below), whose sum is σ = 6110804700. Its totient is φ = 1216512000.

The previous prime is 2728118269. The next prime is 2728118293.

2728118272 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2325554176 + 402564096 = 48224^2 + 20064^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25028554 + ... + 25028662.

Almost surely, 2^2728118272 is an apocalyptic number.

2728118272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728118272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055402350).

2728118272 is an abundant number, since it is smaller than the sum of its proper divisors (3382686428).

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

2728118272 is a wasteful number, since it uses less digits than its factorization.

2728118272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 223 counting only the distinct ones).

The product of its digits is 50176, while the sum is 40.

The square root of 2728118272 is about 52231.3916337675. The cubic root of 2728118272 is about 1397.2937981291.

The spelling of 2728118272 in words is "two billion, seven hundred twenty-eight million, one hundred eighteen thousand, two hundred seventy-two".