286777920 has 224 divisors, whose sum is σ = 1070213760. Its totient is φ = 64143360.

The previous prime is 286777871. The next prime is 286777921. The reversal of 286777920 is 29777682.

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

It is a self number, because there is not a number n which added to its sum of digits gives 286777920.

It is not an unprimeable number, because it can be changed into a prime (286777921) 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 31 ways as a sum of consecutive naturals, for example, 136236 + ... + 138324.

It is an arithmetic number, because the mean of its divisors is an integer number (4777740).

Almost surely, 2^286777920 is an apocalyptic number.

286777920 is a gapful number since it is divisible by the number (20) 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 286777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535106880).

286777920 is an abundant number, since it is smaller than the sum of its proper divisors (783435840).

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

286777920 is a wasteful number, since it uses less digits than its factorization.

286777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 286777920 is about 16934.5185936890. The cubic root of 286777920 is about 659.4500469227.

The spelling of 286777920 in words is "two hundred eighty-six million, seven hundred seventy-seven thousand, nine hundred twenty".