10728587 has 2 divisors, whose sum is σ = 10728588. Its totient is φ = 10728586.

The previous prime is 10728577. The next prime is 10728589. The reversal of 10728587 is 78582701.

10728587 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10728587 is a prime.

Together with 10728589, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10728587.

It is not a weakly prime, because it can be changed into another prime (10728589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5364293 + 5364294.

It is an arithmetic number, because the mean of its divisors is an integer number (5364294).

Almost surely, 2^10728587 is an apocalyptic number.

10728587 is a deficient number, since it is larger than the sum of its proper divisors (1).

10728587 is an equidigital number, since it uses as much as digits as its factorization.

10728587 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31360, while the sum is 38.

The square root of 10728587 is about 3275.4521825238. The cubic root of 10728587 is about 220.5536125962.

The spelling of 10728587 in words is "ten million, seven hundred twenty-eight thousand, five hundred eighty-seven".