286939872 has 144 divisors (see below), whose sum is σ = 873905760. Its totient is φ = 88989696.

The previous prime is 286939837. The next prime is 286939907. The reversal of 286939872 is 278939682.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (286939837) and next prime (286939907).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504004 + ... + 504572.

It is an arithmetic number, because the mean of its divisors is an integer number (6068790).

Almost surely, 2^286939872 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 286939872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436952880).

286939872 is an abundant number, since it is smaller than the sum of its proper divisors (586965888).

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

286939872 is a wasteful number, since it uses less digits than its factorization.

286939872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 694 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 286939872 is about 16939.2996313307. The cubic root of 286939872 is about 659.5741605644.

The spelling of 286939872 in words is "two hundred eighty-six million, nine hundred thirty-nine thousand, eight hundred seventy-two".