2823258601728 has 216 divisors, whose sum is σ = 8170783552568. Its totient is φ = 937551200256.

The previous prime is 2823258601711. The next prime is 2823258601771. The reversal of 2823258601728 is 8271068523282.

2823258601728 is a `hidden beast` number, since 2 + 8 + 2 + 3 + 2 + 5 + 8 + 601 + 7 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 262848985344 + 2560409616384 = 512688^2 + 1600128^2 .

It is a super-2 number, since 2×2823258601728² (a number of 26 digits) contains 22 as substring.

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, 1054633926 + ... + 1054636602.

Almost surely, 2^{2823258601728} 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 2823258601728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085391776284).

2823258601728 is an abundant number, since it is smaller than the sum of its proper divisors (5347524950840).

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

2823258601728 is a wasteful number, since it uses less digits than its factorization.

2823258601728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 2823258601728 in words is "two trillion, eight hundred twenty-three billion, two hundred fifty-eight million, six hundred one thousand, seven hundred twenty-eight".