28127701018560 has 448 divisors, whose sum is σ = 104955636086784. Its totient is φ = 6292070400000.

The previous prime is 28127701018559. The next prime is 28127701018621. The reversal of 28127701018560 is 6581010772182.

It is a super-2 number, since 2×28127701018560² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 401783560 + ... + 401853560.

It is an arithmetic number, because the mean of its divisors is an integer number (234275973408).

Almost surely, 2^{28127701018560} is an apocalyptic number.

28127701018560 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 28127701018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52477818043392).

28127701018560 is an abundant number, since it is smaller than the sum of its proper divisors (76827935068224).

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

28127701018560 is a wasteful number, since it uses less digits than its factorization.

28127701018560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72972 (or 72962 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 48.

The spelling of 28127701018560 in words is "twenty-eight trillion, one hundred twenty-seven billion, seven hundred one million, eighteen thousand, five hundred sixty".