286820856 has 192 divisors, whose sum is σ = 938995200. Its totient is φ = 77324544.

The previous prime is 286820813. The next prime is 286820857. The reversal of 286820856 is 658028682.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286820857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1263415 + ... + 1263641.

It is an arithmetic number, because the mean of its divisors is an integer number (4890600).

Almost surely, 2^286820856 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 286820856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469497600).

286820856 is an abundant number, since it is smaller than the sum of its proper divisors (652174344).

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

286820856 is a wasteful number, since it uses less digits than its factorization.

286820856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 286820856 is about 16935.7862527844. The cubic root of 286820856 is about 659.4829559349.

The spelling of 286820856 in words is "two hundred eighty-six million, eight hundred twenty thousand, eight hundred fifty-six".