284032 has 32 divisors (see below), whose sum is σ = 648720. Its totient is φ = 121344.

The previous prime is 284023. The next prime is 284041. The reversal of 284032 is 230482.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (284023) and next prime (284041).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

284032 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, 738 + ... + 1054.

2²⁸⁴⁰³² 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 284032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324360).

284032 is an abundant number, since it is smaller than the sum of its proper divisors (364688).

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

284032 is an equidigital number, since it uses as much as digits as its factorization.

284032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 284032 is about 532.9465263983. The cubic root of 284032 is about 65.7338532061.

It can be divided in two parts, 28 and 4032, that multiplied together give a square (112896 = 336²).

The spelling of 284032 in words is "two hundred eighty-four thousand, thirty-two".