2728192656 has 120 divisors (see below), whose sum is σ = 8420641600. Its totient is φ = 745544448.

The previous prime is 2728192639. The next prime is 2728192681. The reversal of 2728192656 is 6562918272.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170070 + ... + 185418.

Almost surely, 2^2728192656 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 2728192656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210320800).

2728192656 is an abundant number, since it is smaller than the sum of its proper divisors (5692448944).

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

2728192656 is a wasteful number, since it uses less digits than its factorization.

2728192656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15413 (or 15384 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 2728192656 is about 52232.1036911208. The cubic root of 2728192656 is about 1397.3064974022.

The spelling of 2728192656 in words is "two billion, seven hundred twenty-eight million, one hundred ninety-two thousand, six hundred fifty-six".