286388256 has 384 divisors, whose sum is σ = 1034643456. Its totient is φ = 67092480.

The previous prime is 286388209. The next prime is 286388279. The reversal of 286388256 is 652883682.

286388256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1105920) is a multiple of the sum of its prime factors (144).

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, 5403526 + ... + 5403578.

It is an arithmetic number, because the mean of its divisors is an integer number (2694384).

Almost surely, 2^286388256 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 286388256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517321728).

286388256 is an abundant number, since it is smaller than the sum of its proper divisors (748255200).

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

286388256 is a wasteful number, since it uses less digits than its factorization.

286388256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 286388256 is about 16923.0096614048. The cubic root of 286388256 is about 659.1512321747.

It can be divided in two parts, 2863 and 88256, that added together give a palindrome (91119).

The spelling of 286388256 in words is "two hundred eighty-six million, three hundred eighty-eight thousand, two hundred fifty-six".