64585728 has 128 divisors (see below), whose sum is σ = 193983600. Its totient is φ = 21233664.

The previous prime is 64585727. The next prime is 64585733. The reversal of 64585728 is 82758546.

64585728 is a `hidden beast` number, since 64 + 585 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×64585728² = 8342632522579968, which contains 22 as substring.

Its product of digits (537600) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64585727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884700 + ... + 884772.

Almost surely, 2^64585728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64585728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96991800).

64585728 is an abundant number, since it is smaller than the sum of its proper divisors (129397872).

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

64585728 is an frugal number, since it uses more digits than its factorization.

64585728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 64585728 is about 8036.5246219992. The cubic root of 64585728 is about 401.2165628526.

The spelling of 64585728 in words is "sixty-four million, five hundred eighty-five thousand, seven hundred twenty-eight".