286642032 has 80 divisors (see below), whose sum is σ = 811153440. Its totient is φ = 86818816.

The previous prime is 286642009. The next prime is 286642039. The reversal of 286642032 is 230246682.

It is a junction number, because it is equal to n+sod(n) for n = 286641984 and 286642002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286642039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17608 + ... + 29720.

It is an arithmetic number, because the mean of its divisors is an integer number (10139418).

Almost surely, 2^286642032 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 286642032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405576720).

286642032 is an abundant number, since it is smaller than the sum of its proper divisors (524511408).

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

286642032 is a wasteful number, since it uses less digits than its factorization.

286642032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12170 (or 12164 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 286642032 is about 16930.5059581809. The cubic root of 286642032 is about 659.3458716481.

The spelling of 286642032 in words is "two hundred eighty-six million, six hundred forty-two thousand, thirty-two".