5128445952 has 336 divisors, whose sum is σ = 17856159360. Its totient is φ = 1385496576.

The previous prime is 5128445921. The next prime is 5128445957. The reversal of 5128445952 is 2595448215.

5128445952 is a `hidden beast` number, since 5 + 12 + 8 + 44 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 5128445898 and 5128445907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5128445957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9805563 + ... + 9806085.

Almost surely, 2^5128445952 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 5128445952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928079680).

5128445952 is an abundant number, since it is smaller than the sum of its proper divisors (12727713408).

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

5128445952 is a wasteful number, since it uses less digits than its factorization.

5128445952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 554 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 5128445952 is about 71613.1688448431. The cubic root of 5128445952 is about 1724.4949528394.

The spelling of 5128445952 in words is "five billion, one hundred twenty-eight million, four hundred forty-five thousand, nine hundred fifty-two".