27838240 has 48 divisors (see below), whose sum is σ = 66121272. Its totient is φ = 11075584.

The previous prime is 27838229. The next prime is 27838247. The reversal of 27838240 is 4283872.

It can be written as a sum of positive squares in 4 ways, for example, as 26501904 + 1336336 = 5148^2 + 1156^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27838196 and 27838205.

It is not an unprimeable number, because it can be changed into a prime (27838247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40782 + ... + 41458.

Almost surely, 2^27838240 is an apocalyptic number.

27838240 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 27838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33060636).

27838240 is an abundant number, since it is smaller than the sum of its proper divisors (38283032).

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

27838240 is a wasteful number, since it uses less digits than its factorization.

27838240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 27838240 is about 5276.1955991036. The cubic root of 27838240 is about 303.0730072019.

The spelling of 27838240 in words is "twenty-seven million, eight hundred thirty-eight thousand, two hundred forty".