2812105728 has 352 divisors, whose sum is σ = 9149598720. Its totient is φ = 849346560.

The previous prime is 2812105721. The next prime is 2812105771. The reversal of 2812105728 is 8275012182.

2812105728 is a `hidden beast` number, since 2 + 81 + 2 + 1 + 0 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2812105692 and 2812105701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2812105721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14570400 + ... + 14570592.

Almost surely, 2^2812105728 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 2812105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574799360).

2812105728 is an abundant number, since it is smaller than the sum of its proper divisors (6337492992).

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

2812105728 is a wasteful number, since it uses less digits than its factorization.

2812105728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 2812105728 is about 53029.2912266419. The cubic root of 2812105728 is about 1411.4880803889.

The spelling of 2812105728 in words is "two billion, eight hundred twelve million, one hundred five thousand, seven hundred twenty-eight".