28062870768 has 320 divisors, whose sum is σ = 89917102080. Its totient is φ = 8334323712.

The previous prime is 28062870767. The next prime is 28062870811. The reversal of 28062870768 is 86707826082.

28062870768 is a `hidden beast` number, since 2 + 8 + 0 + 628 + 7 + 0 + 7 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28062870763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17397130 + ... + 17398742.

It is an arithmetic number, because the mean of its divisors is an integer number (280990944).

Almost surely, 2^28062870768 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 28062870768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44958551040).

28062870768 is an abundant number, since it is smaller than the sum of its proper divisors (61854231312).

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

28062870768 is a wasteful number, since it uses less digits than its factorization.

28062870768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 28062870768 in words is "twenty-eight billion, sixty-two million, eight hundred seventy thousand, seven hundred sixty-eight".