5086128 has 80 divisors (see below), whose sum is σ = 14570496. Its totient is φ = 1520640.

The previous prime is 5086121. The next prime is 5086141. The reversal of 5086128 is 8216805.

5086128 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 5086095 and 5086104.

It is not an unprimeable number, because it can be changed into a prime (5086121) 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, 18633 + ... + 18903.

Almost surely, 2^5086128 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 5086128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285248).

5086128 is an abundant number, since it is smaller than the sum of its proper divisors (9484368).

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

5086128 is a wasteful number, since it uses less digits than its factorization.

5086128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 5086128 is about 2255.2445543666. The cubic root of 5086128 is about 171.9738557702.

The spelling of 5086128 in words is "five million, eighty-six thousand, one hundred twenty-eight".