286112772 has 72 divisors (see below), whose sum is σ = 790931232. Its totient is φ = 86486400.

The previous prime is 286112767. The next prime is 286112779. The reversal of 286112772 is 277211682.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (286112779) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 243747 + ... + 244917.

It is an arithmetic number, because the mean of its divisors is an integer number (10985156).

Almost surely, 2^286112772 is an apocalyptic number.

286112772 is a gapful number since it is divisible by the number (22) 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 286112772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395465616).

286112772 is an abundant number, since it is smaller than the sum of its proper divisors (504818460).

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

286112772 is a wasteful number, since it uses less digits than its factorization.

286112772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1804 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 286112772 is about 16914.8683707559. The cubic root of 286112772 is about 658.9398130386.

The spelling of 286112772 in words is "two hundred eighty-six million, one hundred twelve thousand, seven hundred seventy-two".