28127557744000 has 1024 divisors, whose sum is σ = 87908173516800. Its totient is φ = 8797040640000.

The previous prime is 28127557743953. The next prime is 28127557744001. The reversal of 28127557744000 is 44775572182.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28127557744001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2651786697 + ... + 2651797303.

It is an arithmetic number, because the mean of its divisors is an integer number (85847825700).

Almost surely, 2^{28127557744000} is an apocalyptic number.

28127557744000 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 28127557744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43954086758400).

28127557744000 is an abundant number, since it is smaller than the sum of its proper divisors (59780615772800).

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

28127557744000 is a wasteful number, since it uses less digits than its factorization.

28127557744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10740 (or 10718 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 52.

The spelling of 28127557744000 in words is "twenty-eight trillion, one hundred twenty-seven billion, five hundred fifty-seven million, seven hundred forty-four thousand".