2827942656 has 576 divisors, whose sum is σ = 10384174080. Its totient is φ = 660602880.

The previous prime is 2827942643. The next prime is 2827942661. The reversal of 2827942656 is 6562497282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (2903040) is a multiple of the sum of its prime factors (180).

It is a junction number, because it is equal to n+sod(n) for n = 2827942599 and 2827942608.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29154000 + ... + 29154096.

It is an arithmetic number, because the mean of its divisors is an integer number (18028080).

Almost surely, 2^2827942656 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 2827942656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192087040).

2827942656 is an abundant number, since it is smaller than the sum of its proper divisors (7556231424).

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

2827942656 is a wasteful number, since it uses less digits than its factorization.

2827942656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 2827942656 is about 53178.4040377295. The cubic root of 2827942656 is about 1414.1328129715.

The spelling of 2827942656 in words is "two billion, eight hundred twenty-seven million, nine hundred forty-two thousand, six hundred fifty-six".