284788224 has 280 divisors, whose sum is σ = 983962320. Its totient is φ = 80621568.

The previous prime is 284788193. The next prime is 284788241. The reversal of 284788224 is 422887482.

It is a super-2 number, since 2×284788224² = 162208665058148352, which contains 22 as substring.

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 284788224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2612682 + ... + 2612790.

Almost surely, 2^284788224 is an apocalyptic number.

284788224 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 284788224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491981160).

284788224 is an abundant number, since it is smaller than the sum of its proper divisors (699174096).

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

284788224 is an frugal number, since it uses more digits than its factorization.

284788224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 121 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The square root of 284788224 is about 16875.6695867157. The cubic root of 284788224 is about 657.9213943911.

The spelling of 284788224 in words is "two hundred eighty-four million, seven hundred eighty-eight thousand, two hundred twenty-four".