284328 has 48 divisors (see below), whose sum is σ = 842400. Its totient is φ = 85920.

The previous prime is 284311. The next prime is 284341. The reversal of 284328 is 823482.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 284328.

It is an unprimeable number.

284328 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 11 ways as a sum of consecutive naturals, for example, 613 + ... + 971.

It is an arithmetic number, because the mean of its divisors is an integer number (17550).

2²⁸⁴³²⁸ 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 284328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421200).

284328 is an abundant number, since it is smaller than the sum of its proper divisors (558072).

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

284328 is a wasteful number, since it uses less digits than its factorization.

284328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 375 counting only the distinct ones).

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

The square root of 284328 is about 533.2241554919. The cubic root of 284328 is about 65.7566798189.

It can be divided in two parts, 28 and 4328, that added together give a square (4356 = 66²).

The spelling of 284328 in words is "two hundred eighty-four thousand, three hundred twenty-eight".