284191056 has 120 divisors (see below), whose sum is σ = 842624640. Its totient is φ = 89164800.

The previous prime is 284191051. The next prime is 284191067. The reversal of 284191056 is 650191482.

284191056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 284191056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284191051) 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, 659161 + ... + 659591.

It is an arithmetic number, because the mean of its divisors is an integer number (7021872).

Almost surely, 2^284191056 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 284191056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421312320).

284191056 is an abundant number, since it is smaller than the sum of its proper divisors (558433584).

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

284191056 is a wasteful number, since it uses less digits than its factorization.

284191056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 284191056 is about 16857.9671372322. The cubic root of 284191056 is about 657.4612108756.

The spelling of 284191056 in words is "two hundred eighty-four million, one hundred ninety-one thousand, fifty-six".