286212832 has 48 divisors (see below), whose sum is σ = 601776000. Its totient is φ = 133701120.

The previous prime is 286212809. The next prime is 286212847. The reversal of 286212832 is 238212682.

It is a happy number.

286212832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23794 + ... + 33742.

It is an arithmetic number, because the mean of its divisors is an integer number (12537000).

Almost surely, 2^286212832 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 286212832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300888000).

286212832 is an abundant number, since it is smaller than the sum of its proper divisors (315563168).

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

286212832 is a wasteful number, since it uses less digits than its factorization.

286212832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10019 (or 10011 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 286212832 is about 16917.8258650454. The cubic root of 286212832 is about 659.0166193885.

The spelling of 286212832 in words is "two hundred eighty-six million, two hundred twelve thousand, eight hundred thirty-two".