28241645597568 has 2688 divisors, whose sum is σ = 104406549811200. Its totient is φ = 7528442019840.

The previous prime is 28241645597567. The next prime is 28241645597609. The reversal of 28241645597568 is 86579554614282.

It is a happy number.

28241645597568 is a `hidden beast` number, since 2 + 8 + 2 + 4 + 1 + 6 + 4 + 5 + 59 + 7 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1161216000) is a multiple of the sum of its prime divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 28241645597496 and 28241645597505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28241645597567) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 600886076521 + ... + 600886076567.

It is an arithmetic number, because the mean of its divisors is an integer number (38841722400).

Almost surely, 2^{28241645597568} 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 28241645597568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52203274905600).

28241645597568 is an abundant number, since it is smaller than the sum of its proper divisors (76164904213632).

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

28241645597568 is a wasteful number, since it uses less digits than its factorization.

28241645597568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 144 counting only the distinct ones).

The product of its digits is 1161216000, while the sum is 72.

The spelling of 28241645597568 in words is "twenty-eight trillion, two hundred forty-one billion, six hundred forty-five million, five hundred ninety-seven thousand, five hundred sixty-eight".