286442728000 has 896 divisors, whose sum is σ = 885731438592. Its totient is φ = 90316800000.

The previous prime is 286442727953. The next prime is 286442728009. The reversal of 286442728000 is 827244682.

It is not an unprimeable number, because it can be changed into a prime (286442728009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1454023902 + ... + 1454024098.

It is an arithmetic number, because the mean of its divisors is an integer number (988539552).

Almost surely, 2^286442728000 is an apocalyptic number.

286442728000 is a gapful number since it is divisible by the number (20) 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 286442728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442865719296).

286442728000 is an abundant number, since it is smaller than the sum of its proper divisors (599288710592).

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

286442728000 is a wasteful number, since it uses less digits than its factorization.

286442728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 43.

The spelling of 286442728000 in words is "two hundred eighty-six billion, four hundred forty-two million, seven hundred twenty-eight thousand".