286883856 has 240 divisors, whose sum is σ = 970604544. Its totient is φ = 80341632.

The previous prime is 286883851. The next prime is 286883867. The reversal of 286883856 is 658388682.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4423680) is a multiple of the sum of its prime factors (240).

It is not an unprimeable number, because it can be changed into a prime (286883851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2258865 + ... + 2258991.

Almost surely, 2^286883856 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 286883856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485302272).

286883856 is an abundant number, since it is smaller than the sum of its proper divisors (683720688).

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

286883856 is a wasteful number, since it uses less digits than its factorization.

286883856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 286883856 is about 16937.6461174509. The cubic root of 286883856 is about 659.5312373898.

The spelling of 286883856 in words is "two hundred eighty-six million, eight hundred eighty-three thousand, eight hundred fifty-six".