5120128 has 64 divisors (see below), whose sum is σ = 11695320. Its totient is φ = 2211840.

The previous prime is 5120123. The next prime is 5120131. The reversal of 5120128 is 8210215.

It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 2534464 = 1608^2 + 1592^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5120123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28198 + ... + 28378.

Almost surely, 2^5120128 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 5120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847660).

5120128 is an abundant number, since it is smaller than the sum of its proper divisors (6575192).

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

5120128 is a wasteful number, since it uses less digits than its factorization.

5120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 5120128 is about 2262.7699838914. The cubic root of 5120128 is about 172.3562114804.

The spelling of 5120128 in words is "five million, one hundred twenty thousand, one hundred twenty-eight".