284247648 has 72 divisors (see below), whose sum is σ = 819773136. Its totient is φ = 93408000.

The previous prime is 284247641. The next prime is 284247661. The reversal of 284247648 is 846742482.

284247648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284247641) 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 11 ways as a sum of consecutive naturals, for example, 13498 + ... + 27398.

It is an arithmetic number, because the mean of its divisors is an integer number (11385738).

Almost surely, 2^284247648 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 284247648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409886568).

284247648 is an abundant number, since it is smaller than the sum of its proper divisors (535525488).

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

284247648 is a wasteful number, since it uses less digits than its factorization.

284247648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13988 (or 13977 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 284247648 is about 16859.6455478756. The cubic root of 284247648 is about 657.5048488609.

The spelling of 284247648 in words is "two hundred eighty-four million, two hundred forty-seven thousand, six hundred forty-eight".