27828277344 has 288 divisors, whose sum is σ = 95914990080. Its totient is φ = 7476074496.

The previous prime is 27828277343. The next prime is 27828277357. The reversal of 27828277344 is 44377282872.

27828277344 is a `hidden beast` number, since 2 + 7 + 8 + 28 + 277 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27828277343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5244997 + ... + 5250299.

It is an arithmetic number, because the mean of its divisors is an integer number (333038160).

Almost surely, 2^27828277344 is an apocalyptic number.

27828277344 is a gapful number since it is divisible by the number (24) 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 27828277344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47957495040).

27828277344 is an abundant number, since it is smaller than the sum of its proper divisors (68086712736).

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

27828277344 is a wasteful number, since it uses less digits than its factorization.

27828277344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5482 (or 5471 counting only the distinct ones).

The product of its digits is 8429568, while the sum is 54.

The spelling of 27828277344 in words is "twenty-seven billion, eight hundred twenty-eight million, two hundred seventy-seven thousand, three hundred forty-four".