283200 has 84 divisors (see below), whose sum is σ = 944880. Its totient is φ = 74240.

The previous prime is 283193. The next prime is 283207. The reversal of 283200 is 2382.

It is an interprime number because it is at equal distance from previous prime (283193) and next prime (283207).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 283200.

It is not an unprimeable number, because it can be changed into a prime (283207) by changing a digit.

283200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 4771 + ... + 4829.

2²⁸³²⁰⁰ is an apocalyptic number.

283200 is a gapful number since it is divisible by the number (20) 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 283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472440).

283200 is an abundant number, since it is smaller than the sum of its proper divisors (661680).

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

283200 is a wasteful number, since it uses less digits than its factorization.

283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 283200 is about 532.1653878260. The cubic root of 283200 is about 65.6696068610.

Adding to 283200 its reverse (2382), we get a palindrome (285582).

The spelling of 283200 in words is "two hundred eighty-three thousand, two hundred".