286831400856 has 768 divisors, whose sum is σ = 1025881251840. Its totient is φ = 64761016320.

The previous prime is 286831400837. The next prime is 286831400857. The reversal of 286831400856 is 658004138682.

It is a happy number.

286831400856 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 286831400799 and 286831400808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286831400857) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 524371575 + ... + 524372121.

It is an arithmetic number, because the mean of its divisors is an integer number (1335782880).

Almost surely, 2^286831400856 is an apocalyptic number.

286831400856 is a gapful number since it is divisible by the number (26) 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 286831400856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512940625920).

286831400856 is an abundant number, since it is smaller than the sum of its proper divisors (739049850984).

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

286831400856 is a wasteful number, since it uses less digits than its factorization.

286831400856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 286831400856 in words is "two hundred eighty-six billion, eight hundred thirty-one million, four hundred thousand, eight hundred fifty-six".