284232816 has 120 divisors (see below), whose sum is σ = 933786464. Its totient is φ = 79004160.

The previous prime is 284232811. The next prime is 284232833. The reversal of 284232816 is 618232482.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284232811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33486 + ... + 41106.

Almost surely, 2^284232816 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 284232816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466893232).

284232816 is an abundant number, since it is smaller than the sum of its proper divisors (649553648).

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

284232816 is a wasteful number, since it uses less digits than its factorization.

284232816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7679 (or 7670 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 284232816 is about 16859.2056752387. The cubic root of 284232816 is about 657.4934124936.

The spelling of 284232816 in words is "two hundred eighty-four million, two hundred thirty-two thousand, eight hundred sixteen".