5956658928 has 480 divisors, whose sum is σ = 20055859200. Its totient is φ = 1632153600.

The previous prime is 5956658833. The next prime is 5956658941. The reversal of 5956658928 is 8298566595.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66928708 + ... + 66928796.

It is an arithmetic number, because the mean of its divisors is an integer number (41783040).

Almost surely, 2^5956658928 is an apocalyptic number.

5956658928 is a gapful number since it is divisible by the number (58) 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 5956658928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10027929600).

5956658928 is an abundant number, since it is smaller than the sum of its proper divisors (14099200272).

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

5956658928 is a wasteful number, since it uses less digits than its factorization.

5956658928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 212 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 63.

The square root of 5956658928 is about 77179.3944521464. The cubic root of 5956658928 is about 1812.7346844621.

The spelling of 5956658928 in words is "five billion, nine hundred fifty-six million, six hundred fifty-eight thousand, nine hundred twenty-eight".