39288128 has 28 divisors (see below), whose sum is σ = 85051392. Its totient is φ = 17857920.

The previous prime is 39288121. The next prime is 39288149. The reversal of 39288128 is 82188293.

It is a happy number.

39288128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39288121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27200 + ... + 28607.

Almost surely, 2^39288128 is an apocalyptic number.

It is an amenable number.

39288128 is an abundant number, since it is smaller than the sum of its proper divisors (45763264).

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

39288128 is a wasteful number, since it uses less digits than its factorization.

39288128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55830 (or 55820 counting only the distinct ones).

The product of its digits is 55296, while the sum is 41.

The square root of 39288128 is about 6268.0242501126. The cubic root of 39288128 is about 339.9542268253.

The spelling of 39288128 in words is "thirty-nine million, two hundred eighty-eight thousand, one hundred twenty-eight".