27738 has 24 divisors (see below), whose sum is σ = 63648. Its totient is φ = 8712.

The previous prime is 27737. The next prime is 27739. The reversal of 27738 is 83772.

It is an interprime number because it is at equal distance from previous prime (27737) and next prime (27739).

It is a super-3 number, since 3×27738³ = 64024572333816, which contains 333 as substring.

Its product of digits (2352) is a multiple of the sum of its prime factors (98).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 27738.

It is not an unprimeable number, because it can be changed into a prime (27733) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 381 + ... + 447.

It is an arithmetic number, because the mean of its divisors is an integer number (2652).

2²⁷⁷³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31824).

27738 is an abundant number, since it is smaller than the sum of its proper divisors (35910).

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

27738 is a wasteful number, since it uses less digits than its factorization.

27738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 95 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 27738 is about 166.5472905814. The cubic root of 27738 is about 30.2708801041.

The spelling of 27738 in words is "twenty-seven thousand, seven hundred thirty-eight".