39928 has 32 divisors (see below), whose sum is σ = 92160. Its totient is φ = 15840.

The previous prime is 39901. The next prime is 39929. The reversal of 39928 is 82993.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 39928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1273 + ... + 1303.

It is an arithmetic number, because the mean of its divisors is an integer number (2880).

2³⁹⁹²⁸ 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 39928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46080).

39928 is an abundant number, since it is smaller than the sum of its proper divisors (52232).

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

39928 is a wasteful number, since it uses less digits than its factorization.

39928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 63 counting only the distinct ones).

The product of its digits is 3888, while the sum is 31.

The square root of 39928 is about 199.8199189270. The cubic root of 39928 is about 34.1789868980.

The spelling of 39928 in words is "thirty-nine thousand, nine hundred twenty-eight".