286949888 has 80 divisors (see below), whose sum is σ = 601032960. Its totient is φ = 136704000.

The previous prime is 286949881. The next prime is 286949893. The reversal of 286949888 is 888949682.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a self number, because there is not a number n which added to its sum of digits gives 286949888.

It is not an unprimeable number, because it can be changed into a prime (286949881) 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 7 ways as a sum of consecutive naturals, for example, 1602983 + ... + 1603161.

It is an arithmetic number, because the mean of its divisors is an integer number (7512912).

Almost surely, 2^286949888 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 286949888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300516480).

286949888 is an abundant number, since it is smaller than the sum of its proper divisors (314083072).

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

286949888 is a wasteful number, since it uses less digits than its factorization.

286949888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 313 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 62.

The square root of 286949888 is about 16939.5952726150. The cubic root of 286949888 is about 659.5818348992.

The spelling of 286949888 in words is "two hundred eighty-six million, nine hundred forty-nine thousand, eight hundred eighty-eight".