28608135286752 has 1440 divisors, whose sum is σ = 106903888439040. Its totient is φ = 7453682933760.

The previous prime is 28608135286741. The next prime is 28608135286771. The reversal of 28608135286752 is 25768253180682.

28608135286752 is a `hidden beast` number, since 2 + 8 + 60 + 81 + 352 + 86 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 28608135286752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9044619123 + ... + 9044622285.

It is an arithmetic number, because the mean of its divisors is an integer number (74238811416).

Almost surely, 2^{28608135286752} 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 28608135286752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53451944219520).

28608135286752 is an abundant number, since it is smaller than the sum of its proper divisors (78295753152288).

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

28608135286752 is a wasteful number, since it uses less digits than its factorization.

28608135286752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 28608135286752 in words is "twenty-eight trillion, six hundred eight billion, one hundred thirty-five million, two hundred eighty-six thousand, seven hundred fifty-two".