27438768 has 120 divisors (see below), whose sum is σ = 88827648. Its totient is φ = 7744896.

The previous prime is 27438767. The next prime is 27438781. The reversal of 27438768 is 86783472.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (27438767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164221 + ... + 164387.

Almost surely, 2^27438768 is an apocalyptic number.

27438768 is a gapful number since it is divisible by the number (28) 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 27438768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44413824).

27438768 is an abundant number, since it is smaller than the sum of its proper divisors (61388880).

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

27438768 is a wasteful number, since it uses less digits than its factorization.

27438768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 27438768 is about 5238.2027452171. The cubic root of 27438768 is about 301.6163424833.

It can be divided in two parts, 2743 and 8768, that added together give a palindrome (11511).

The spelling of 27438768 in words is "twenty-seven million, four hundred thirty-eight thousand, seven hundred sixty-eight".