39728 has 20 divisors (see below), whose sum is σ = 83328. Its totient is φ = 18240.

The previous prime is 39727. The next prime is 39733. The reversal of 39728 is 82793.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 39728.

It is not an unprimeable number, because it can be changed into a prime (39727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113 + ... + 303.

2³⁹⁷²⁸ 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 39728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664).

39728 is an abundant number, since it is smaller than the sum of its proper divisors (43600).

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

39728 is a wasteful number, since it uses less digits than its factorization.

39728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 39728 is about 199.3188400528. The cubic root of 39728 is about 34.1218236476.

It can be divided in two parts, 39 and 728, that added together give a palindrome (767).

The spelling of 39728 in words is "thirty-nine thousand, seven hundred twenty-eight".