286948116 has 288 divisors, whose sum is σ = 963473280. Its totient is φ = 73156608.

The previous prime is 286948099. The next prime is 286948139. The reversal of 286948116 is 611849682.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2958180 + ... + 2958276.

Almost surely, 2^286948116 is an apocalyptic number.

286948116 is a gapful number since it is divisible by the number (26) 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 286948116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481736640).

286948116 is an abundant number, since it is smaller than the sum of its proper divisors (676525164).

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

286948116 is a wasteful number, since it uses less digits than its factorization.

286948116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 286948116 is about 16939.5429690414. The cubic root of 286948116 is about 659.5804771924.

The spelling of 286948116 in words is "two hundred eighty-six million, nine hundred forty-eight thousand, one hundred sixteen".