28027886544000 has 1024 divisors, whose sum is σ = 120210857395200. Its totient is φ = 6285463142400.

The previous prime is 28027886543983. The next prime is 28027886544001. The reversal of 28027886544000 is 44568872082.

28027886544000 is a `hidden beast` number, since 2 + 80 + 27 + 88 + 65 + 4 + 400 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28027886544001) 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, 160184562 + ... + 160359438.

It is an arithmetic number, because the mean of its divisors is an integer number (117393415425).

Almost surely, 2^{28027886544000} is an apocalyptic number.

28027886544000 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 28027886544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60105428697600).

28027886544000 is an abundant number, since it is smaller than the sum of its proper divisors (92182970851200).

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

28027886544000 is a wasteful number, since it uses less digits than its factorization.

28027886544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174975 (or 174947 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 28027886544000 in words is "twenty-eight trillion, twenty-seven billion, eight hundred eighty-six million, five hundred forty-four thousand".