28125655699968 has 720 divisors, whose sum is σ = 85959361608120. Its totient is φ = 8849536450560.

The previous prime is 28125655699963. The next prime is 28125655700039. The reversal of 28125655699968 is 86999655652182.

It is a happy number.

28125655699968 is a `hidden beast` number, since 2 + 8 + 1 + 2 + 56 + 556 + 9 + 9 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26522170401024 + 1603485298944 = 5149968^2 + 1266288^2 .

It is not an unprimeable number, because it can be changed into a prime (28125655699963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68766884148 + ... + 68766884556.

Almost surely, 2^{28125655699968} 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 28125655699968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42979680804060).

28125655699968 is an abundant number, since it is smaller than the sum of its proper divisors (57833705908152).

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

28125655699968 is a wasteful number, since it uses less digits than its factorization.

28125655699968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 791 counting only the distinct ones).

The product of its digits is 5038848000, while the sum is 81.

The spelling of 28125655699968 in words is "twenty-eight trillion, one hundred twenty-five billion, six hundred fifty-five million, six hundred ninety-nine thousand, nine hundred sixty-eight".