63728511 has 16 divisors (see below), whose sum is σ = 105938688. Its totient is φ = 33105600.

The previous prime is 63728503. The next prime is 63728513. The reversal of 63728511 is 11582736.

It is not a de Polignac number, because 63728511 - 2³ = 63728503 is a prime.

It is a super-2 number, since 2×63728511² = 8122646228554242, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63728513) 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, 137710 + ... + 138171.

It is an arithmetic number, because the mean of its divisors is an integer number (6621168).

Almost surely, 2^63728511 is an apocalyptic number.

63728511 is a deficient number, since it is larger than the sum of its proper divisors (42210177).

63728511 is a wasteful number, since it uses less digits than its factorization.

63728511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275902.

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

The square root of 63728511 is about 7983.0139045351. The cubic root of 63728511 is about 399.4335962622.

The spelling of 63728511 in words is "sixty-three million, seven hundred twenty-eight thousand, five hundred eleven".