284082144 has 96 divisors (see below), whose sum is σ = 783457920. Its totient is φ = 90004992.

The previous prime is 284082107. The next prime is 284082157. The reversal of 284082144 is 441280482.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185767 + ... + 187289.

It is an arithmetic number, because the mean of its divisors is an integer number (8161020).

Almost surely, 2^284082144 is an apocalyptic number.

284082144 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 284082144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391728960).

284082144 is an abundant number, since it is smaller than the sum of its proper divisors (499375776).

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

284082144 is a wasteful number, since it uses less digits than its factorization.

284082144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 284082144 is about 16854.7365449597. The cubic root of 284082144 is about 657.3772127306.

The spelling of 284082144 in words is "two hundred eighty-four million, eighty-two thousand, one hundred forty-four".