39828 has 12 divisors (see below), whose sum is σ = 92960. Its totient is φ = 13272.

The previous prime is 39827. The next prime is 39829. The reversal of 39828 is 82893.

39828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39827) and next prime (39829).

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 39795 and 39804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1648 + ... + 1671.

2³⁹⁸²⁸ is an apocalyptic number.

It is an amenable number.

39828 is an abundant number, since it is smaller than the sum of its proper divisors (53132).

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 (46480).

39828 is a wasteful number, since it uses less digits than its factorization.

39828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3324 counting only the distinct ones).

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

The square root of 39828 is about 199.5695367535. The cubic root of 39828 is about 34.1504291937.

The spelling of 39828 in words is "thirty-nine thousand, eight hundred twenty-eight".