286728320 has 32 divisors (see below), whose sum is σ = 685461420. Its totient is φ = 114691072.

The previous prime is 286728319. The next prime is 286728329. The reversal of 286728320 is 23827682.

It can be written as a sum of positive squares in 2 ways, for example, as 269222464 + 17505856 = 16408^2 + 4184^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (286728329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 223367 + ... + 224646.

Almost surely, 2^286728320 is an apocalyptic number.

286728320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286728320 is an abundant number, since it is smaller than the sum of its proper divisors (398733100).

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

286728320 is an equidigital number, since it uses as much as digits as its factorization.

286728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448032 (or 448020 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 286728320 is about 16933.0540659386. The cubic root of 286728320 is about 659.4120260873.

The spelling of 286728320 in words is "two hundred eighty-six million, seven hundred twenty-eight thousand, three hundred twenty".