283872 has 24 divisors (see below), whose sum is σ = 745416. Its totient is φ = 94592.

The previous prime is 283861. The next prime is 283873. The reversal of 283872 is 278382.

It is a tau number, because it is divible by the number of its divisors (24).

It is a d-powerful number, because it can be written as 2⁵ + 8² + 8⁴ + 3⁶ + 7⁵ + 2¹⁸ .

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 283872.

It is not an unprimeable number, because it can be changed into a prime (283873) by changing a digit.

283872 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1383 + ... + 1574.

It is an arithmetic number, because the mean of its divisors is an integer number (31059).

2²⁸³⁸⁷² is an apocalyptic number.

It is an amenable number.

283872 is an abundant number, since it is smaller than the sum of its proper divisors (461544).

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

283872 is a wasteful number, since it uses less digits than its factorization.

283872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2962 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 283872 is about 532.7963963842. The cubic root of 283872 is about 65.7215078929.

The spelling of 283872 in words is "two hundred eighty-three thousand, eight hundred seventy-two".