283826144 has 96 divisors (see below), whose sum is σ = 663505920. Its totient is φ = 116992512.

The previous prime is 283826143. The next prime is 283826197. The reversal of 283826144 is 441628382.

283826144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (73728) is a multiple of the sum of its prime factors (512).

It is a junction number, because it is equal to n+sod(n) for n = 283826098 and 283826107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283826143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760742 + ... + 761114.

It is an arithmetic number, because the mean of its divisors is an integer number (6911520).

Almost surely, 2^283826144 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 283826144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331752960).

283826144 is an abundant number, since it is smaller than the sum of its proper divisors (379679776).

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

283826144 is a wasteful number, since it uses less digits than its factorization.

283826144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 283826144 is about 16847.1405288850. The cubic root of 283826144 is about 657.1796887089.

It can be divided in two parts, 2838 and 26144, that added together give a palindrome (28982).

The spelling of 283826144 in words is "two hundred eighty-three million, eight hundred twenty-six thousand, one hundred forty-four".