5286918528 has 96 divisors (see below), whose sum is σ = 15364627200. Its totient is φ = 1744819200.

The previous prime is 5286918521. The next prime is 5286918569. The reversal of 5286918528 is 8258196825.

It is a happy number.

5286918528 is a `hidden beast` number, since 5 + 28 + 6 + 91 + 8 + 528 = 666.

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

It is a super-3 number, since 3×5286918528³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5286918521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93633 + ... + 139071.

It is an arithmetic number, because the mean of its divisors is an integer number (160048200).

Almost surely, 2^5286918528 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 5286918528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7682313600).

5286918528 is an abundant number, since it is smaller than the sum of its proper divisors (10077708672).

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

5286918528 is a wasteful number, since it uses less digits than its factorization.

5286918528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45560 (or 45545 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The square root of 5286918528 is about 72711.1994674823. The cubic root of 5286918528 is about 1742.0777715668.

The spelling of 5286918528 in words is "five billion, two hundred eighty-six million, nine hundred eighteen thousand, five hundred twenty-eight".