382728 has 32 divisors (see below), whose sum is σ = 984960. Its totient is φ = 123840.

The previous prime is 382727. The next prime is 382729. The reversal of 382728 is 827283.

It is an interprime number because it is at equal distance from previous prime (382727) and next prime (382729).

It is a junction number, because it is equal to n+sod(n) for n = 382695 and 382704.

It is not an unprimeable number, because it can be changed into a prime (382727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 673 + ... + 1103.

It is an arithmetic number, because the mean of its divisors is an integer number (30780).

2³⁸²⁷²⁸ 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 382728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492480).

382728 is an abundant number, since it is smaller than the sum of its proper divisors (602232).

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

382728 is a wasteful number, since it uses less digits than its factorization.

382728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 473 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 382728 is about 618.6501434575. The cubic root of 382728 is about 72.6044787742.

The spelling of 382728 in words is "three hundred eighty-two thousand, seven hundred twenty-eight".