5829128352 has 72 divisors (see below), whose sum is σ = 16585339680. Its totient is φ = 1942016640.

The previous prime is 5829128299. The next prime is 5829128363. The reversal of 5829128352 is 2538219285.

5829128352 is a `hidden beast` number, since 5 + 8 + 291 + 2 + 8 + 352 = 666.

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 = 5829128298 and 5829128307.

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, 704077 + ... + 712307.

It is an arithmetic number, because the mean of its divisors is an integer number (230351940).

Almost surely, 2^5829128352 is an apocalyptic number.

It is an amenable number.

5829128352 is an abundant number, since it is smaller than the sum of its proper divisors (10756211328).

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

5829128352 is a wasteful number, since it uses less digits than its factorization.

5829128352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10706 (or 10695 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 5829128352 is about 76348.7285552287. The cubic root of 5829128352 is about 1799.7045144591.

The spelling of 5829128352 in words is "five billion, eight hundred twenty-nine million, one hundred twenty-eight thousand, three hundred fifty-two".