39288 has 16 divisors (see below), whose sum is σ = 98280. Its totient is φ = 13088.

The previous prime is 39251. The next prime is 39293. The reversal of 39288 is 88293.

39288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

39288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 795 + ... + 842.

39288 is a Friedman number, since it can be written as 8*((9+8)^3-2), using all its digits and the basic arithmetic operations.

2³⁹²⁸⁸ is an apocalyptic number.

It is an amenable number.

39288 is an abundant number, since it is smaller than the sum of its proper divisors (58992).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49140).

39288 is a wasteful number, since it uses less digits than its factorization.

39288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1642 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 39288 is about 198.2120077089. The cubic root of 39288 is about 33.9953857637.

The spelling of 39288 in words is "thirty-nine thousand, two hundred eighty-eight".