27738336 has 48 divisors (see below), whose sum is σ = 73486224. Its totient is φ = 9160704.

The previous prime is 27738323. The next prime is 27738341. The reversal of 27738336 is 63383772.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 27738294 and 27738303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9570 + ... + 12126.

It is an arithmetic number, because the mean of its divisors is an integer number (1530963).

Almost surely, 2^27738336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27738336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36743112).

27738336 is an abundant number, since it is smaller than the sum of its proper divisors (45747888).

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

27738336 is a wasteful number, since it uses less digits than its factorization.

27738336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2675 counting only the distinct ones).

The product of its digits is 127008, while the sum is 39.

The square root of 27738336 is about 5266.7196621806. The cubic root of 27738336 is about 302.7100233084.

The spelling of 27738336 in words is "twenty-seven million, seven hundred thirty-eight thousand, three hundred thirty-six".