286741728 has 288 divisors, whose sum is σ = 1049721120. Its totient is φ = 75479040.

The previous prime is 286741691. The next prime is 286741729. The reversal of 286741728 is 827147682.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (286741729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550108 + ... + 550628.

It is an arithmetic number, because the mean of its divisors is an integer number (3644865).

Almost surely, 2^286741728 is an apocalyptic number.

286741728 is a gapful number since it is divisible by the number (28) 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 286741728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524860560).

286741728 is an abundant number, since it is smaller than the sum of its proper divisors (762979392).

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

286741728 is a wasteful number, since it uses less digits than its factorization.

286741728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 546 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 286741728 is about 16933.4499733516. The cubic root of 286741728 is about 659.4223044100.

The spelling of 286741728 in words is "two hundred eighty-six million, seven hundred forty-one thousand, seven hundred twenty-eight".