5829814080 has 448 divisors, whose sum is σ = 22933152000. Its totient is φ = 1385496576.

The previous prime is 5829814073. The next prime is 5829814093. The reversal of 5829814080 is 804189285.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2789676 + ... + 2791764.

Almost surely, 2^5829814080 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 5829814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11466576000).

5829814080 is an abundant number, since it is smaller than the sum of its proper divisors (17103337920).

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

5829814080 is a wasteful number, since it uses less digits than its factorization.

5829814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 5829814080 is about 76353.2191855720. The cubic root of 5829814080 is about 1799.7750830080.

The spelling of 5829814080 in words is "five billion, eight hundred twenty-nine million, eight hundred fourteen thousand, eighty".