28162890756 has 576 divisors, whose sum is σ = 102119270400. Its totient is φ = 6510067200.

The previous prime is 28162890739. The next prime is 28162890781. The reversal of 28162890756 is 65709826182.

28162890756 is a `hidden beast` number, since 2 + 8 + 1 + 628 + 9 + 0 + 7 + 5 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40756371 + ... + 40757061.

It is an arithmetic number, because the mean of its divisors is an integer number (177290400).

Almost surely, 2^28162890756 is an apocalyptic number.

28162890756 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28162890756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51059635200).

28162890756 is an abundant number, since it is smaller than the sum of its proper divisors (73956379644).

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

28162890756 is a wasteful number, since it uses less digits than its factorization.

28162890756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 28162890756 in words is "twenty-eight billion, one hundred sixty-two million, eight hundred ninety thousand, seven hundred fifty-six".