28110971548800 has 1536 divisors, whose sum is σ = 121042027814400. Its totient is φ = 6238450483200.

The previous prime is 28110971548721. The next prime is 28110971548843. The reversal of 28110971548800 is 884517901182.

28110971548800 is a `hidden beast` number, since 2 + 8 + 1 + 1 + 0 + 97 + 1 + 548 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3109272280 + ... + 3109281320.

It is an arithmetic number, because the mean of its divisors is an integer number (78803403525).

Almost surely, 2^{28110971548800} is an apocalyptic number.

28110971548800 is a gapful number since it is divisible by the number (20) 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 28110971548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60521013907200).

28110971548800 is an abundant number, since it is smaller than the sum of its proper divisors (92931056265600).

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

28110971548800 is a wasteful number, since it uses less digits than its factorization.

28110971548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9231 (or 9208 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 28110971548800 in words is "twenty-eight trillion, one hundred ten billion, nine hundred seventy-one million, five hundred forty-eight thousand, eight hundred".