27845600748 has 96 divisors (see below), whose sum is σ = 76352640000. Its totient is φ = 7731645696.

The previous prime is 27845600747. The next prime is 27845600759. The reversal of 27845600748 is 84700654872.

It is a self number, because there is not a number n which added to its sum of digits gives 27845600748.

It is not an unprimeable number, because it can be changed into a prime (27845600747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2851378 + ... + 2861126.

It is an arithmetic number, because the mean of its divisors is an integer number (795340000).

Almost surely, 2^27845600748 is an apocalyptic number.

27845600748 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 27845600748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38176320000).

27845600748 is an abundant number, since it is smaller than the sum of its proper divisors (48507039252).

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

27845600748 is a wasteful number, since it uses less digits than its factorization.

27845600748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10719 (or 10717 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 27845600748 in words is "twenty-seven billion, eight hundred forty-five million, six hundred thousand, seven hundred forty-eight".