284208848 has 80 divisors (see below), whose sum is σ = 689539200. Its totient is φ = 110246400.

The previous prime is 284208833. The next prime is 284208853. The reversal of 284208848 is 848802482.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 284208799 and 284208808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429638 + ... + 430298.

It is an arithmetic number, because the mean of its divisors is an integer number (8619240).

Almost surely, 2^284208848 is an apocalyptic number.

284208848 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 284208848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344769600).

284208848 is an abundant number, since it is smaller than the sum of its proper divisors (405330352).

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

284208848 is a wasteful number, since it uses less digits than its factorization.

284208848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The square root of 284208848 is about 16858.4948319831. The cubic root of 284208848 is about 657.4749308778.

The spelling of 284208848 in words is "two hundred eighty-four million, two hundred eight thousand, eight hundred forty-eight".