3828 has 24 divisors (see below), whose sum is σ = 10080. Its totient is φ = 1120.

The previous prime is 3823. The next prime is 3833. The reversal of 3828 is 8283.

3828 is a nontrivial binomial coefficient, being equal to C(88, 2).

It is an interprime number because it is at equal distance from previous prime (3823) and next prime (3833).

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 3828.

It is not an unprimeable number, because it can be changed into a prime (3821) by changing a digit.

3828 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, 118 + ... + 146.

It is an arithmetic number, because the mean of its divisors is an integer number (420).

2³⁸²⁸ is an apocalyptic number.

3828 is the 87-th triangular number and also the 44-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040).

3828 is an abundant number, since it is smaller than the sum of its proper divisors (6252).

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

3828 is a wasteful number, since it uses less digits than its factorization.

3828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 45 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 3828 is about 61.8708331930. The cubic root of 3828 is about 15.6431415950.

It can be divided in two parts, 38 and 28, that added together give a palindrome (66).

The spelling of 3828 in words is "three thousand, eight hundred twenty-eight".