383728 has 20 divisors (see below), whose sum is σ = 770040. Its totient is φ = 185024.

The previous prime is 383723. The next prime is 383729. The reversal of 383728 is 827383.

It is a super-3 number, since 3×383728³ = 169508595340333056, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 383728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51 + ... + 877.

It is an arithmetic number, because the mean of its divisors is an integer number (38502).

2³⁸³⁷²⁸ 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 383728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385020).

383728 is an abundant number, since it is smaller than the sum of its proper divisors (386312).

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

383728 is a wasteful number, since it uses less digits than its factorization.

383728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 858 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 383728 is about 619.4578274588. The cubic root of 383728 is about 72.6676579651.

It can be divided in two parts, 383 and 728, that added together give a palindrome (1111).

The spelling of 383728 in words is "three hundred eighty-three thousand, seven hundred twenty-eight".