3833728 has 32 divisors (see below), whose sum is σ = 7778520. Its totient is φ = 1881600.

The previous prime is 3833723. The next prime is 3833729. The reversal of 3833728 is 8273383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 3833693 and 3833702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3833723) 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, 7563 + ... + 8053.

Almost surely, 2^3833728 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 3833728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889260).

3833728 is an abundant number, since it is smaller than the sum of its proper divisors (3944792).

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

3833728 is an equidigital number, since it uses as much as digits as its factorization.

3833728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 554 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 3833728 is about 1957.9908069243. The cubic root of 3833728 is about 156.5094020693.

The spelling of 3833728 in words is "three million, eight hundred thirty-three thousand, seven hundred twenty-eight".