64005728 has 24 divisors (see below), whose sum is σ = 128695392. Its totient is φ = 31321216.

The previous prime is 64005727. The next prime is 64005779. The reversal of 64005728 is 82750046.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 64005694 and 64005703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64005727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19775 + ... + 22782.

It is an arithmetic number, because the mean of its divisors is an integer number (5362308).

Almost surely, 2^64005728 is an apocalyptic number.

It is an amenable number.

64005728 is an abundant number, since it is smaller than the sum of its proper divisors (64689664).

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

64005728 is a wasteful number, since it uses less digits than its factorization.

64005728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42614 (or 42606 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 64005728 is about 8000.3579919901. The cubic root of 64005728 is about 400.0119329773.

The spelling of 64005728 in words is "sixty-four million, five thousand, seven hundred twenty-eight".