27316114728 has 128 divisors (see below), whose sum is σ = 79180416000. Its totient is φ = 7691636736.

The previous prime is 27316114697. The next prime is 27316114733. The reversal of 27316114728 is 82741161372.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 27316114728.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6258675 + ... + 6263037.

It is an arithmetic number, because the mean of its divisors is an integer number (618597000).

Almost surely, 2^27316114728 is an apocalyptic number.

27316114728 is a gapful number since it is divisible by the number (28) 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 27316114728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39590208000).

27316114728 is an abundant number, since it is smaller than the sum of its proper divisors (51864301272).

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

27316114728 is a wasteful number, since it uses less digits than its factorization.

27316114728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4911 (or 4907 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The spelling of 27316114728 in words is "twenty-seven billion, three hundred sixteen million, one hundred fourteen thousand, seven hundred twenty-eight".