10287728 has 20 divisors (see below), whose sum is σ = 21744888. Its totient is φ = 4676160.

The previous prime is 10287709. The next prime is 10287731. The reversal of 10287728 is 82778201.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 29051 + ... + 29402.

Almost surely, 2^10287728 is an apocalyptic number.

It is an amenable number.

10287728 is an abundant number, since it is smaller than the sum of its proper divisors (11457160).

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

10287728 is a wasteful number, since it uses less digits than its factorization.

10287728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58472 (or 58466 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 35.

The square root of 10287728 is about 3207.4488304570. The cubic root of 10287728 is about 217.4902660020.

The spelling of 10287728 in words is "ten million, two hundred eighty-seven thousand, seven hundred twenty-eight".