5285884032 has 288 divisors, whose sum is σ = 18011442540. Its totient is φ = 1478062080.

The previous prime is 5285884031. The next prime is 5285884063. The reversal of 5285884032 is 2304885825.

5285884032 is a `hidden beast` number, since 5 + 28 + 588 + 40 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5118543936 + 167340096 = 71544^2 + 12936^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (5285884031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1810638 + ... + 1813554.

Almost surely, 2^5285884032 is an apocalyptic number.

5285884032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5285884032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9005721270).

5285884032 is an abundant number, since it is smaller than the sum of its proper divisors (12725558508).

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

5285884032 is a wasteful number, since it uses less digits than its factorization.

5285884032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 5285884032 is about 72704.0853872738. The cubic root of 5285884032 is about 1741.9641395249.

The spelling of 5285884032 in words is "five billion, two hundred eighty-five million, eight hundred eighty-four thousand, thirty-two".