5005004832 has 72 divisors (see below), whose sum is σ = 14255120880. Its totient is φ = 1665740160.

The previous prime is 5005004821. The next prime is 5005004887. The reversal of 5005004832 is 2384005005.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 5005004796 and 5005004805.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176607 + ... + 202977.

It is an arithmetic number, because the mean of its divisors is an integer number (197987790).

Almost surely, 2^5005004832 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 5005004832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7127560440).

5005004832 is an abundant number, since it is smaller than the sum of its proper divisors (9250116048).

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

5005004832 is a wasteful number, since it uses less digits than its factorization.

5005004832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27046 (or 27035 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5005004832 is about 70746.0587736165. The cubic root of 5005004832 is about 1710.5462992402.

Adding to 5005004832 its reverse (2384005005), we get a palindrome (7389009837).

The spelling of 5005004832 in words is "five billion, five million, four thousand, eight hundred thirty-two".