5662585728 has 96 divisors (see below), whose sum is σ = 16310595600. Its totient is φ = 1885685760.

The previous prime is 5662585699. The next prime is 5662585729. The reversal of 5662585728 is 8275852665.

5662585728 is a `hidden beast` number, since 5 + 6 + 62 + 5 + 8 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5662585729) 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 11 ways as a sum of consecutive naturals, for example, 1704453 + ... + 1707771.

Almost surely, 2^5662585728 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 5662585728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155297800).

5662585728 is an abundant number, since it is smaller than the sum of its proper divisors (10648009872).

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

5662585728 is a wasteful number, since it uses less digits than its factorization.

5662585728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4820 (or 4805 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The square root of 5662585728 is about 75250.1543387122. The cubic root of 5662585728 is about 1782.3990006946.

The spelling of 5662585728 in words is "five billion, six hundred sixty-two million, five hundred eighty-five thousand, seven hundred twenty-eight".