282475872 has 144 divisors (see below), whose sum is σ = 933502752. Its totient is φ = 79349760.

The previous prime is 282475861. The next prime is 282475873. The reversal of 282475872 is 278574282.

282475872 is a `hidden beast` number, since 28 + 2 + 47 + 587 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282475873) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 121828 + ... + 124124.

It is an arithmetic number, because the mean of its divisors is an integer number (6482658).

Almost surely, 2^282475872 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 282475872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466751376).

282475872 is an abundant number, since it is smaller than the sum of its proper divisors (651026880).

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

282475872 is a wasteful number, since it uses less digits than its factorization.

282475872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2370 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 282475872 is about 16807.0185339340. The cubic root of 282475872 is about 656.1358780601.

The spelling of 282475872 in words is "two hundred eighty-two million, four hundred seventy-five thousand, eight hundred seventy-two".