283800 has 96 divisors (see below), whose sum is σ = 982080. Its totient is φ = 67200.

The previous prime is 283799. The next prime is 283807. The reversal of 283800 is 8382.

283800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6579 + ... + 6621.

It is an arithmetic number, because the mean of its divisors is an integer number (10230).

2²⁸³⁸⁰⁰ is an apocalyptic number.

283800 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 283800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491040).

283800 is an abundant number, since it is smaller than the sum of its proper divisors (698280).

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

283800 is a wasteful number, since it uses less digits than its factorization.

283800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 283800 is about 532.7288240747. The cubic root of 283800 is about 65.7159509885.

It can be divided in two parts, 28 and 3800, that added together give a triangular number (3828 = T₈₇).

The spelling of 283800 in words is "two hundred eighty-three thousand, eight hundred".