27991208448 has 720 divisors, whose sum is σ = 101908968480. Its totient is φ = 7559516160.

The previous prime is 27991208437. The next prime is 27991208467. The reversal of 27991208448 is 84480219972.

27991208448 is a `hidden beast` number, since 2 + 79 + 9 + 120 + 8 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 27991208394 and 27991208403.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 650958315 + ... + 650958357.

It is an arithmetic number, because the mean of its divisors is an integer number (141540234).

Almost surely, 2^27991208448 is an apocalyptic number.

27991208448 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 27991208448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50954484240).

27991208448 is an abundant number, since it is smaller than the sum of its proper divisors (73917760032).

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

27991208448 is an equidigital number, since it uses as much as digits as its factorization.

27991208448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 27991208448 in words is "twenty-seven billion, nine hundred ninety-one million, two hundred eight thousand, four hundred forty-eight".