283981824 has 288 divisors, whose sum is σ = 981227520. Its totient is φ = 77414400.

The previous prime is 283981813. The next prime is 283981837. The reversal of 283981824 is 428189382.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 283981824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3999709 + ... + 3999779.

It is an arithmetic number, because the mean of its divisors is an integer number (3407040).

Almost surely, 2^283981824 is an apocalyptic number.

283981824 is a gapful number since it is divisible by the number (24) 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 283981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490613760).

283981824 is an abundant number, since it is smaller than the sum of its proper divisors (697245696).

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

283981824 is a wasteful number, since it uses less digits than its factorization.

283981824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 283981824 is about 16851.7602641386. The cubic root of 283981824 is about 657.2998221497.

The spelling of 283981824 in words is "two hundred eighty-three million, nine hundred eighty-one thousand, eight hundred twenty-four".