286128640 has 120 divisors (see below), whose sum is σ = 798394212. Its totient is φ = 98058240.

The previous prime is 286128607. The next prime is 286128653. The reversal of 286128640 is 46821682.

It can be written as a sum of positive squares in 2 ways, for example, as 286015744 + 112896 = 16912^2 + 336^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 286128640.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 124300 + ... + 126580.

Almost surely, 2^286128640 is an apocalyptic number.

286128640 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 286128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399197106).

286128640 is an abundant number, since it is smaller than the sum of its proper divisors (512265572).

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

286128640 is an equidigital number, since it uses as much as digits as its factorization.

286128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 286128640 is about 16915.3374190407. The cubic root of 286128640 is about 658.9519945566.

The spelling of 286128640 in words is "two hundred eighty-six million, one hundred twenty-eight thousand, six hundred forty".