284441248 has 192 divisors, whose sum is σ = 746807040. Its totient is φ = 103514112.

The previous prime is 284441243. The next prime is 284441273. The reversal of 284441248 is 842144482.

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

It is not an unprimeable number, because it can be changed into a prime (284441243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2932336 + ... + 2932432.

It is an arithmetic number, because the mean of its divisors is an integer number (3889620).

Almost surely, 2^284441248 is an apocalyptic number.

284441248 is a gapful number since it is divisible by the number (28) 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 284441248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373403520).

284441248 is an abundant number, since it is smaller than the sum of its proper divisors (462365792).

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

284441248 is a wasteful number, since it uses less digits than its factorization.

284441248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its digits is 65536, while the sum is 37.

The square root of 284441248 is about 16865.3860910446. The cubic root of 284441248 is about 657.6540896737.

It can be divided in two parts, 28444 and 1248, that added together give a palindrome (29692).

The spelling of 284441248 in words is "two hundred eighty-four million, four hundred forty-one thousand, two hundred forty-eight".