28100822688 has 144 divisors (see below), whose sum is σ = 81695708640. Its totient is φ = 9159879168.

The previous prime is 28100822669. The next prime is 28100822693. The reversal of 28100822688 is 88622800182.

It is a Cunningham number, because it is equal to 167633²-1.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2676906 + ... + 2687382.

It is an arithmetic number, because the mean of its divisors is an integer number (567331310).

Almost surely, 2^28100822688 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 28100822688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40847854320).

28100822688 is an abundant number, since it is smaller than the sum of its proper divisors (53594885952).

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

28100822688 is a wasteful number, since it uses less digits than its factorization.

28100822688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10699 (or 10688 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 28100822688 in words is "twenty-eight billion, one hundred million, eight hundred twenty-two thousand, six hundred eighty-eight".