286281216 has 280 divisors, whose sum is σ = 939236760. Its totient is φ = 86593536.

The previous prime is 286281211. The next prime is 286281223. The reversal of 286281216 is 612182682.

286281216 is a `hidden beast` number, since 2 + 8 + 628 + 1 + 21 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286281211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4852195 + ... + 4852253.

It is an arithmetic number, because the mean of its divisors is an integer number (3354417).

Almost surely, 2^286281216 is an apocalyptic number.

286281216 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 286281216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469618380).

286281216 is an abundant number, since it is smaller than the sum of its proper divisors (652955544).

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

286281216 is an frugal number, since it uses more digits than its factorization.

286281216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 286281216 is about 16919.8468078171. The cubic root of 286281216 is about 659.0691008507.

The spelling of 286281216 in words is "two hundred eighty-six million, two hundred eighty-one thousand, two hundred sixteen".