28679185656 has 192 divisors, whose sum is σ = 89462880000. Its totient is φ = 8208414720.

The previous prime is 28679185627. The next prime is 28679185723. The reversal of 28679185656 is 65658197682.

28679185656 is a `hidden beast` number, since 2 + 8 + 67 + 9 + 1 + 8 + 565 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28679185593 and 28679185602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5309245 + ... + 5314643.

It is an arithmetic number, because the mean of its divisors is an integer number (465952500).

Almost surely, 2^28679185656 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 28679185656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44731440000).

28679185656 is an abundant number, since it is smaller than the sum of its proper divisors (60783694344).

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

28679185656 is a wasteful number, since it uses less digits than its factorization.

28679185656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794 (or 5787 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 28679185656 in words is "twenty-eight billion, six hundred seventy-nine million, one hundred eighty-five thousand, six hundred fifty-six".