284928 has 72 divisors (see below), whose sum is σ = 883008. Its totient is φ = 79872.

The previous prime is 284927. The next prime is 284957. The reversal of 284928 is 829482.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 284928.

It is not an unprimeable number, because it can be changed into a prime (284927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5350 + ... + 5402.

It is an arithmetic number, because the mean of its divisors is an integer number (12264).

2²⁸⁴⁹²⁸ is an apocalyptic number.

284928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441504).

284928 is an abundant number, since it is smaller than the sum of its proper divisors (598080).

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

284928 is an equidigital number, since it uses as much as digits as its factorization.

284928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 65 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 284928 is about 533.7864741636. The cubic root of 284928 is about 65.8029014220.

The spelling of 284928 in words is "two hundred eighty-four thousand, nine hundred twenty-eight".