286234872 has 256 divisors, whose sum is σ = 950400000. Its totient is φ = 71124480.

The previous prime is 286234859. The next prime is 286234889. The reversal of 286234872 is 278432682.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2625954 + ... + 2626062.

It is an arithmetic number, because the mean of its divisors is an integer number (3712500).

Almost surely, 2^286234872 is an apocalyptic number.

286234872 is a gapful number since it is divisible by the number (22) 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 286234872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475200000).

286234872 is an abundant number, since it is smaller than the sum of its proper divisors (664165128).

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

286234872 is a wasteful number, since it uses less digits than its factorization.

286234872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 161 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 286234872 is about 16918.4772364418. The cubic root of 286234872 is about 659.0335349514.

The spelling of 286234872 in words is "two hundred eighty-six million, two hundred thirty-four thousand, eight hundred seventy-two".