11728563 has 16 divisors (see below), whose sum is σ = 19497216. Its totient is φ = 6092640.

The previous prime is 11728559. The next prime is 11728579. The reversal of 11728563 is 36582711.

11728563 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11728563 - 2² = 11728559 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11728523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25156 + ... + 25617.

It is an arithmetic number, because the mean of its divisors is an integer number (1218576).

Almost surely, 2^11728563 is an apocalyptic number.

11728563 is a deficient number, since it is larger than the sum of its proper divisors (7768653).

11728563 is a wasteful number, since it uses less digits than its factorization.

11728563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50794.

The product of its digits is 10080, while the sum is 33.

The square root of 11728563 is about 3424.6989648727. The cubic root of 11728563 is about 227.2034569644.

It can be divided in two parts, 117 and 28563, that added together give a triangular number (28680 = T₂₃₉).

The spelling of 11728563 in words is "eleven million, seven hundred twenty-eight thousand, five hundred sixty-three".