2828593656 has 128 divisors (see below), whose sum is σ = 8993318400. Its totient is φ = 806941440.

The previous prime is 2828593643. The next prime is 2828593687. The reversal of 2828593656 is 6563958282.

2828593656 is a `hidden beast` number, since 28 + 28 + 593 + 6 + 5 + 6 = 666.

2828593656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1560991 + ... + 1562801.

It is an arithmetic number, because the mean of its divisors is an integer number (70260300).

Almost surely, 2^2828593656 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 2828593656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496659200).

2828593656 is an abundant number, since it is smaller than the sum of its proper divisors (6164724744).

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

2828593656 is a wasteful number, since it uses less digits than its factorization.

2828593656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2856 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 2828593656 is about 53184.5245912756. The cubic root of 2828593656 is about 1414.2413170374.

The spelling of 2828593656 in words is "two billion, eight hundred twenty-eight million, five hundred ninety-three thousand, six hundred fifty-six".