393828 has 24 divisors (see below), whose sum is σ = 944832. Its totient is φ = 127584.

The previous prime is 393797. The next prime is 393847. The reversal of 393828 is 828393.

393828 is a nontrivial binomial coefficient, being equal to C(888, 2).

It is an unprimeable number.

393828 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 7 ways as a sum of consecutive naturals, for example, 1 + ... + 887.

It is an arithmetic number, because the mean of its divisors is an integer number (39368).

2³⁹³⁸²⁸ is an apocalyptic number.

393828 is the 887-th triangular number and also the 444-th hexagonal number.

It is an amenable number.

393828 is an abundant number, since it is smaller than the sum of its proper divisors (551004).

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

393828 is a wasteful number, since it uses less digits than its factorization.

393828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 929 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 393828 is about 627.5571687105. The cubic root of 393828 is about 73.2996999120.

Adding to 393828 its reverse (828393), we get a palindrome (1222221).

It can be divided in two parts, 393 and 828, that added together give a palindrome (1221).

The spelling of 393828 in words is "three hundred ninety-three thousand, eight hundred twenty-eight".