28127109417540 has 192 divisors, whose sum is σ = 92482730801664. Its totient is φ = 6252360855552.

The previous prime is 28127109417481. The next prime is 28127109417569. The reversal of 28127109417540 is 4571490172182.

It is a super-2 number, since 2×28127109417540² (a number of 28 digits) contains 22 as substring.

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, 32785494 + ... + 33632466.

It is an arithmetic number, because the mean of its divisors is an integer number (481680889592).

Almost surely, 2^{28127109417540} is an apocalyptic number.

28127109417540 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 28127109417540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46241365400832).

28127109417540 is an abundant number, since it is smaller than the sum of its proper divisors (64355621384124).

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

28127109417540 is a wasteful number, since it uses less digits than its factorization.

28127109417540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849166 (or 849164 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 28127109417540 in words is "twenty-eight trillion, one hundred twenty-seven billion, one hundred nine million, four hundred seventeen thousand, five hundred forty".