286968780 has 144 divisors (see below), whose sum is σ = 1047271680. Its totient is φ = 62135424.

The previous prime is 286968763. The next prime is 286968797. The reversal of 286968780 is 87869682.

It is an interprime number because it is at equal distance from previous prime (286968763) and next prime (286968797).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17947 + ... + 29933.

It is an arithmetic number, because the mean of its divisors is an integer number (7272720).

Almost surely, 2^286968780 is an apocalyptic number.

286968780 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 286968780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523635840).

286968780 is an abundant number, since it is smaller than the sum of its proper divisors (760302900).

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

286968780 is a wasteful number, since it uses less digits than its factorization.

286968780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12028 (or 12023 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 286968780 is about 16940.1528918720. The cubic root of 286968780 is about 659.5963096061.

The spelling of 286968780 in words is "two hundred eighty-six million, nine hundred sixty-eight thousand, seven hundred eighty".