2728118736 has 120 divisors (see below), whose sum is σ = 8760433344. Its totient is φ = 776355840.

The previous prime is 2728118719. The next prime is 2728118737. The reversal of 2728118736 is 6378118272.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2728118691 and 2728118700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728118737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253791 + ... + 264321.

Almost surely, 2^2728118736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728118736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380216672).

2728118736 is an abundant number, since it is smaller than the sum of its proper divisors (6032314608).

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

2728118736 is a wasteful number, since it uses less digits than its factorization.

2728118736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10809 (or 10800 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 2728118736 is about 52231.3960755406. The cubic root of 2728118736 is about 1397.2938773466.

The spelling of 2728118736 in words is "two billion, seven hundred twenty-eight million, one hundred eighteen thousand, seven hundred thirty-six".