5188128 has 96 divisors (see below), whose sum is σ = 15785280. Its totient is φ = 1479680.

The previous prime is 5188123. The next prime is 5188147. The reversal of 5188128 is 8218815.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5188123) 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, 305176 + ... + 305192.

It is an arithmetic number, because the mean of its divisors is an integer number (164430).

Almost surely, 2^5188128 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 5188128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7892640).

5188128 is an abundant number, since it is smaller than the sum of its proper divisors (10597152).

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

5188128 is a wasteful number, since it uses less digits than its factorization.

5188128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 33 counting only the distinct ones).

The product of its digits is 5120, while the sum is 33.

The square root of 5188128 is about 2277.7462545244. The cubic root of 5188128 is about 173.1158745684.

It can be divided in two parts, 518 and 8128, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 5188128 in words is "five million, one hundred eighty-eight thousand, one hundred twenty-eight".