5285984832 has 392 divisors, whose sum is σ = 16990466400. Its totient is φ = 1625868288.

The previous prime is 5285984791. The next prime is 5285984849. The reversal of 5285984832 is 2384895825.

It is a happy number.

5285984832 is a `hidden beast` number, since 5 + 2 + 8 + 598 + 48 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5529600) is a multiple of the sum of its prime divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 59393044 + ... + 59393132.

Almost surely, 2^5285984832 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 5285984832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8495233200).

5285984832 is an abundant number, since it is smaller than the sum of its proper divisors (11704481568).

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

5285984832 is an equidigital number, since it uses as much as digits as its factorization.

5285984832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 180 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The square root of 5285984832 is about 72704.7786049858. The cubic root of 5285984832 is about 1741.9752123412.

The spelling of 5285984832 in words is "five billion, two hundred eighty-five million, nine hundred eighty-four thousand, eight hundred thirty-two".