27828942336 has 320 divisors, whose sum is σ = 93940862400. Its totient is φ = 8058175488.

The previous prime is 27828942301. The next prime is 27828942343. The reversal of 27828942336 is 63324982872.

27828942336 is a `hidden beast` number, since 27 + 8 + 289 + 4 + 2 + 336 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3050550 + ... + 3059658.

It is an arithmetic number, because the mean of its divisors is an integer number (293565195).

Almost surely, 2^27828942336 is an apocalyptic number.

27828942336 is a gapful number since it is divisible by the number (26) 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 27828942336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46970431200).

27828942336 is an abundant number, since it is smaller than the sum of its proper divisors (66111920064).

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

27828942336 is a wasteful number, since it uses less digits than its factorization.

27828942336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9166 (or 9144 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 27828942336 in words is "twenty-seven billion, eight hundred twenty-eight million, nine hundred forty-two thousand, three hundred thirty-six".