28217859058080 has 288 divisors, whose sum is σ = 104913809340480. Its totient is φ = 7082129018880.

The previous prime is 28217859058069. The next prime is 28217859058087. The reversal of 28217859058080 is 8085095871282.

28217859058080 is a `hidden beast` number, since 28 + 2 + 17 + 8 + 590 + 5 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 28217859057999 and 28217859058017.

It is not an unprimeable number, because it can be changed into a prime (28217859058087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10052406 + ... + 12549365.

It is an arithmetic number, because the mean of its divisors is an integer number (364284060210).

Almost surely, 2^{28217859058080} is an apocalyptic number.

28217859058080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28217859058080 is an abundant number, since it is smaller than the sum of its proper divisors (76695950282400).

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

28217859058080 is a wasteful number, since it uses less digits than its factorization.

28217859058080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22601829 (or 22601798 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 63.

The spelling of 28217859058080 in words is "twenty-eight trillion, two hundred seventeen billion, eight hundred fifty-nine million, fifty-eight thousand, eighty".