284128 has 24 divisors (see below), whose sum is σ = 603288. Its totient is φ = 130944.

The previous prime is 284117. The next prime is 284129. The reversal of 284128 is 821482.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284129) by changing a digit.

284128 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 3 ways as a sum of consecutive naturals, for example, 75 + ... + 757.

It is an arithmetic number, because the mean of its divisors is an integer number (25137).

2²⁸⁴¹²⁸ 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 284128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301644).

284128 is an abundant number, since it is smaller than the sum of its proper divisors (319160).

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

284128 is a wasteful number, since it uses less digits than its factorization.

284128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 698 counting only the distinct ones).

The product of its digits is 1024, while the sum is 25.

The square root of 284128 is about 533.0365841103. The cubic root of 284128 is about 65.7412581688.

The spelling of 284128 in words is "two hundred eighty-four thousand, one hundred twenty-eight".