2728130688 has 192 divisors, whose sum is σ = 8197862400. Its totient is φ = 869750784.

The previous prime is 2728130627. The next prime is 2728130689. The reversal of 2728130688 is 8860318272.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2728130689) 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, 4242495 + ... + 4243137.

It is an arithmetic number, because the mean of its divisors is an integer number (42697200).

Almost surely, 2^2728130688 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 2728130688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098931200).

2728130688 is an abundant number, since it is smaller than the sum of its proper divisors (5469731712).

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

2728130688 is a wasteful number, since it uses less digits than its factorization.

2728130688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2728130688 is about 52231.5104893588. The cubic root of 2728130688 is about 1397.2959178775.

The spelling of 2728130688 in words is "two billion, seven hundred twenty-eight million, one hundred thirty thousand, six hundred eighty-eight".