5128256448 has 504 divisors, whose sum is σ = 18619898752. Its totient is φ = 1370566656.

The previous prime is 5128256429. The next prime is 5128256453. The reversal of 5128256448 is 8446528215.

5128256448 is a `hidden beast` number, since 5 + 1 + 2 + 82 + 564 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

Its product of digits (614400) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31461615 + ... + 31461777.

Almost surely, 2^5128256448 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 5128256448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9309949376).

5128256448 is an abundant number, since it is smaller than the sum of its proper divisors (13491642304).

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

5128256448 is a wasteful number, since it uses less digits than its factorization.

5128256448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 192 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 5128256448 is about 71611.8457240141. The cubic root of 5128256448 is about 1724.4737116603.

The spelling of 5128256448 in words is "five billion, one hundred twenty-eight million, two hundred fifty-six thousand, four hundred forty-eight".