28132102656 has 640 divisors, whose sum is σ = 103118400000. Its totient is φ = 7543259136.

The previous prime is 28132102651. The next prime is 28132102679. The reversal of 28132102656 is 65620123182.

28132102656 is a `hidden beast` number, since 281 + 321 + 0 + 2 + 6 + 56 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28132102656.

It is not an unprimeable number, because it can be changed into a prime (28132102651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80607570 + ... + 80607918.

It is an arithmetic number, because the mean of its divisors is an integer number (161122500).

Almost surely, 2^28132102656 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 28132102656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51559200000).

28132102656 is an abundant number, since it is smaller than the sum of its proper divisors (74986297344).

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

28132102656 is an equidigital number, since it uses as much as digits as its factorization.

28132102656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 28132102656 in words is "twenty-eight billion, one hundred thirty-two million, one hundred two thousand, six hundred fifty-six".