28127892755250 has 320 divisors, whose sum is σ = 79371163872000. Its totient is φ = 7433078400000.

The previous prime is 28127892755213. The next prime is 28127892755269. The reversal of 28127892755250 is 5255729872182.

28127892755250 is a `hidden beast` number, since 2 + 8 + 1 + 2 + 7 + 8 + 9 + 27 + 552 + 50 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1011453346 + ... + 1011481154.

It is an arithmetic number, because the mean of its divisors is an integer number (248034887100).

Almost surely, 2^{28127892755250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28127892755250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39685581936000).

28127892755250 is an abundant number, since it is smaller than the sum of its proper divisors (51243271116750).

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

28127892755250 is a wasteful number, since it uses less digits than its factorization.

28127892755250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28288 (or 28269 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 28127892755250 in words is "twenty-eight trillion, one hundred twenty-seven billion, eight hundred ninety-two million, seven hundred fifty-five thousand, two hundred fifty".