283776 has 32 divisors (see below), whose sum is σ = 754800. Its totient is φ = 94464.

The previous prime is 283771. The next prime is 283793. The reversal of 283776 is 677382.

283776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 283776.

It is not an unprimeable number, because it can be changed into a prime (283771) by changing a digit.

283776 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 3 ways as a sum of consecutive naturals, for example, 15 + ... + 753.

2²⁸³⁷⁷⁶ 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 283776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377400).

283776 is an abundant number, since it is smaller than the sum of its proper divisors (471024).

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

283776 is an equidigital number, since it uses as much as digits as its factorization.

283776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 744 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 283776 is about 532.7062980668. The cubic root of 283776 is about 65.7140984782.

The spelling of 283776 in words is "two hundred eighty-three thousand, seven hundred seventy-six".