2827128672 has 72 divisors (see below), whose sum is σ = 8044788024. Its totient is φ = 941773824.

The previous prime is 2827128649. The next prime is 2827128683. The reversal of 2827128672 is 2768217282.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 851688 + ... + 855000.

It is an arithmetic number, because the mean of its divisors is an integer number (111733167).

Almost surely, 2^2827128672 is an apocalyptic number.

It is an amenable number.

2827128672 is an abundant number, since it is smaller than the sum of its proper divisors (5217659352).

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

2827128672 is a wasteful number, since it uses less digits than its factorization.

2827128672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6292 (or 6281 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 2827128672 is about 53170.7501545728. The cubic root of 2827128672 is about 1413.9971204578.

The spelling of 2827128672 in words is "two billion, eight hundred twenty-seven million, one hundred twenty-eight thousand, six hundred seventy-two".