284288 has 16 divisors (see below), whose sum is σ = 566610. Its totient is φ = 142080.

The previous prime is 284269. The next prime is 284293. The reversal of 284288 is 882482.

It can be written as a sum of positive squares in only one way, i.e., 222784 + 61504 = 472^2 + 248^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (32).

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

It is a d-powerful number, because it can be written as 2⁷ + 8³ + 2¹⁴ + 4⁵ + 8⁴ + 8⁶ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 284288.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 983 + ... + 1238.

2²⁸⁴²⁸⁸ is an apocalyptic number.

It is an amenable number.

284288 is a deficient number, since it is larger than the sum of its proper divisors (282322).

284288 is an equidigital number, since it uses as much as digits as its factorization.

284288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2223 counting only the distinct ones).

The product of its digits is 8192, while the sum is 32.

The square root of 284288 is about 533.1866464945. The cubic root of 284288 is about 65.7535960675.

The spelling of 284288 in words is "two hundred eighty-four thousand, two hundred eighty-eight".