243828 has 36 divisors (see below), whose sum is σ = 665028. Its totient is φ = 74880.

The previous prime is 243809. The next prime is 243829. The reversal of 243828 is 828342.

243828 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 191844 = 228^2 + 438^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 243828.

It is not an unprimeable number, because it can be changed into a prime (243829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208 + ... + 728.

It is an arithmetic number, because the mean of its divisors is an integer number (18473).

2²⁴³⁸²⁸ 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 243828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332514).

243828 is an abundant number, since it is smaller than the sum of its proper divisors (421200).

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

243828 is a wasteful number, since it uses less digits than its factorization.

243828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 539 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 243828 is about 493.7894288054. The cubic root of 243828 is about 62.4733112717.

The spelling of 243828 in words is "two hundred forty-three thousand, eight hundred twenty-eight".