27838464 has 96 divisors (see below), whose sum is σ = 77837760. Its totient is φ = 8830976.

The previous prime is 27838451. The next prime is 27838483. The reversal of 27838464 is 46483872.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141214 + ... + 141410.

It is an arithmetic number, because the mean of its divisors is an integer number (810810).

Almost surely, 2^27838464 is an apocalyptic number.

27838464 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 27838464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38918880).

27838464 is an abundant number, since it is smaller than the sum of its proper divisors (49999296).

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

27838464 is a wasteful number, since it uses less digits than its factorization.

27838464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 225 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 27838464 is about 5276.2168264771. The cubic root of 27838464 is about 303.0738200906.

The spelling of 27838464 in words is "twenty-seven million, eight hundred thirty-eight thousand, four hundred sixty-four".