5929825408 has 128 divisors (see below), whose sum is σ = 13602556800. Its totient is φ = 2553323520.

The previous prime is 5929825393. The next prime is 5929825409. The reversal of 5929825408 is 8045289295.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (5929825409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1567263 + ... + 1571041.

It is an arithmetic number, because the mean of its divisors is an integer number (106269975).

Almost surely, 2^5929825408 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 5929825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801278400).

5929825408 is an abundant number, since it is smaller than the sum of its proper divisors (7672731392).

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

5929825408 is a wasteful number, since it uses less digits than its factorization.

5929825408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The square root of 5929825408 is about 77005.3596056794. The cubic root of 5929825408 is about 1810.0085882197.

The spelling of 5929825408 in words is "five billion, nine hundred twenty-nine million, eight hundred twenty-five thousand, four hundred eight".