27838832320 has 112 divisors (see below), whose sum is σ = 72456799968. Its totient is φ = 10125434880.

The previous prime is 27838832317. The next prime is 27838832347. The reversal of 27838832320 is 2323883872.

It is a happy number.

It is a super-3 number, since 3×27838832320³ (a number of 32 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 228780 + ... + 328660.

It is an arithmetic number, because the mean of its divisors is an integer number (646935714).

Almost surely, 2^27838832320 is an apocalyptic number.

27838832320 is a gapful number since it is divisible by the number (20) 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 27838832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36228399984).

27838832320 is an abundant number, since it is smaller than the sum of its proper divisors (44617967648).

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

27838832320 is a wasteful number, since it uses less digits than its factorization.

27838832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99978 (or 99968 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 27838832320 in words is "twenty-seven billion, eight hundred thirty-eight million, eight hundred thirty-two thousand, three hundred twenty".