286630272 has 128 divisors (see below), whose sum is σ = 852271200. Its totient is φ = 94832640.

The previous prime is 286630271. The next prime is 286630273. The reversal of 286630272 is 272036682.

286630272 is a `hidden beast` number, since 286 + 6 + 302 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (286630271) and next prime (286630273).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286630271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680622 + ... + 681042.

Almost surely, 2^286630272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286630272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426135600).

286630272 is an abundant number, since it is smaller than the sum of its proper divisors (565640928).

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

286630272 is a wasteful number, since it uses less digits than its factorization.

286630272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 286630272 is about 16930.1586525348. The cubic root of 286630272 is about 659.3368545785.

The spelling of 286630272 in words is "two hundred eighty-six million, six hundred thirty thousand, two hundred seventy-two".