5829408648 has 192 divisors, whose sum is σ = 18773314560. Its totient is φ = 1660067136.

The previous prime is 5829408623. The next prime is 5829408701. The reversal of 5829408648 is 8468049285.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5829408594 and 5829408603.

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 47 ways as a sum of consecutive naturals, for example, 6027861 + ... + 6028827.

It is an arithmetic number, because the mean of its divisors is an integer number (97777680).

Almost surely, 2^5829408648 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 5829408648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9386657280).

5829408648 is an abundant number, since it is smaller than the sum of its proper divisors (12943905912).

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

5829408648 is a wasteful number, since it uses less digits than its factorization.

5829408648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 5829408648 is about 76350.5641629451. The cubic root of 5829408648 is about 1799.7333605038.

The spelling of 5829408648 in words is "five billion, eight hundred twenty-nine million, four hundred eight thousand, six hundred forty-eight".