28560801325056 has 1792 divisors, whose sum is σ = 111811574956032. Its totient is φ = 6234203750400.

The previous prime is 28560801325033. The next prime is 28560801325061. The reversal of 28560801325056 is 65052310806582.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12964502451 + ... + 12964504653.

It is an arithmetic number, because the mean of its divisors is an integer number (62394852096).

Almost surely, 2^{28560801325056} is an apocalyptic number.

28560801325056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28560801325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55905787478016).

28560801325056 is an abundant number, since it is smaller than the sum of its proper divisors (83250773630976).

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

28560801325056 is a wasteful number, since it uses less digits than its factorization.

28560801325056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 28560801325056 in words is "twenty-eight trillion, five hundred sixty billion, eight hundred one million, three hundred twenty-five thousand, fifty-six".