2957681728 has 112 divisors (see below), whose sum is σ = 6373717504. Its totient is φ = 1358622720.

The previous prime is 2957681707. The next prime is 2957681767. The reversal of 2957681728 is 8271867592.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3156076 + ... + 3157012.

It is an arithmetic number, because the mean of its divisors is an integer number (56908192).

Almost surely, 2^2957681728 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 2957681728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186858752).

2957681728 is an abundant number, since it is smaller than the sum of its proper divisors (3416035776).

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

2957681728 is a wasteful number, since it uses less digits than its factorization.

2957681728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1050 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 55.

The square root of 2957681728 is about 54384.5725183163. The cubic root of 2957681728 is about 1435.4359301543.

The spelling of 2957681728 in words is "two billion, nine hundred fifty-seven million, six hundred eighty-one thousand, seven hundred twenty-eight".