284883552 has 144 divisors (see below), whose sum is σ = 885935232. Its totient is φ = 86446080.

The previous prime is 284883517. The next prime is 284883553. The reversal of 284883552 is 255388482.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 284883498 and 284883507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284883553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150838 + ... + 152714.

It is an arithmetic number, because the mean of its divisors is an integer number (6152328).

Almost surely, 2^284883552 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 284883552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442967616).

284883552 is an abundant number, since it is smaller than the sum of its proper divisors (601051680).

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

284883552 is a wasteful number, since it uses less digits than its factorization.

284883552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1930 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 284883552 is about 16878.4937716610. The cubic root of 284883552 is about 657.9947955231.

The spelling of 284883552 in words is "two hundred eighty-four million, eight hundred eighty-three thousand, five hundred fifty-two".