287028 has 72 divisors (see below), whose sum is σ = 891072. Its totient is φ = 76032.

The previous prime is 287003. The next prime is 287047. The reversal of 287028 is 820782.

287028 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 286992 and 287010.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 287028.

It is an unprimeable number.

287028 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 23 ways as a sum of consecutive naturals, for example, 4251 + ... + 4317.

It is an arithmetic number, because the mean of its divisors is an integer number (12376).

2²⁸⁷⁰²⁸ is an apocalyptic number.

287028 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 287028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445536).

287028 is an abundant number, since it is smaller than the sum of its proper divisors (604044).

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

287028 is a wasteful number, since it uses less digits than its factorization.

287028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 287028 is about 535.7499416706. The cubic root of 287028 is about 65.9641678777.

It can be divided in two parts, 28 and 7028, that added together give a square (7056 = 84²).

The spelling of 287028 in words is "two hundred eighty-seven thousand, twenty-eight".