5829328288 has 384 divisors, whose sum is σ = 15885434880. Its totient is φ = 2043740160.

The previous prime is 5829328283. The next prime is 5829328289. The reversal of 5829328288 is 8828239285.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5829328283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51586920 + ... + 51587032.

It is an arithmetic number, because the mean of its divisors is an integer number (41368320).

Almost surely, 2^5829328288 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 5829328288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7942717440).

5829328288 is an abundant number, since it is smaller than the sum of its proper divisors (10056106592).

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

5829328288 is a wasteful number, since it uses less digits than its factorization.

5829328288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 55.

The square root of 5829328288 is about 76350.0379043783. The cubic root of 5829328288 is about 1799.7250905262.

The spelling of 5829328288 in words is "five billion, eight hundred twenty-nine million, three hundred twenty-eight thousand, two hundred eighty-eight".