5829138432 has 576 divisors, whose sum is σ = 20283812640. Its totient is φ = 1656225792.

The previous prime is 5829138407. The next prime is 5829138433. The reversal of 5829138432 is 2348319285.

5829138432 is a `hidden beast` number, since 5 + 82 + 9 + 138 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

Its product of digits (414720) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5829138433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109983718 + ... + 109983770.

Almost surely, 2^5829138432 is an apocalyptic number.

5829138432 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 5829138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10141906320).

5829138432 is an abundant number, since it is smaller than the sum of its proper divisors (14454674208).

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

5829138432 is a wasteful number, since it uses less digits than its factorization.

5829138432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 5829138432 is about 76348.7945680873. The cubic root of 5829138432 is about 1799.7055518361.

The spelling of 5829138432 in words is "five billion, eight hundred twenty-nine million, one hundred thirty-eight thousand, four hundred thirty-two".