27829897344 has 384 divisors, whose sum is σ = 86077555200. Its totient is φ = 8615116800.

The previous prime is 27829897343. The next prime is 27829897367. The reversal of 27829897344 is 44379892872.

27829897344 is a `hidden beast` number, since 278 + 298 + 9 + 73 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (27829897343) 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, 121527822 + ... + 121528050.

It is an arithmetic number, because the mean of its divisors is an integer number (224160300).

Almost surely, 2^27829897344 is an apocalyptic number.

27829897344 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 27829897344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43038777600).

27829897344 is an abundant number, since it is smaller than the sum of its proper divisors (58247657856).

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

27829897344 is a wasteful number, since it uses less digits than its factorization.

27829897344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 389 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 27829897344 in words is "twenty-seven billion, eight hundred twenty-nine million, eight hundred ninety-seven thousand, three hundred forty-four".