286220688 has 80 divisors (see below), whose sum is σ = 800157120. Its totient is φ = 87639552.

The previous prime is 286220681. The next prime is 286220719. The reversal of 286220688 is 886022682.

It is not an unprimeable number, because it can be changed into a prime (286220681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141895 + ... + 143897.

It is an arithmetic number, because the mean of its divisors is an integer number (10001964).

Almost surely, 2^286220688 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 286220688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400078560).

286220688 is an abundant number, since it is smaller than the sum of its proper divisors (513936432).

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

286220688 is a wasteful number, since it uses less digits than its factorization.

286220688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 286220688 is about 16918.0580445866. The cubic root of 286220688 is about 659.0226489192.

The spelling of 286220688 in words is "two hundred eighty-six million, two hundred twenty thousand, six hundred eighty-eight".