5083128 has 64 divisors (see below), whose sum is σ = 14320800. Its totient is φ = 1670400.

The previous prime is 5083123. The next prime is 5083151. The reversal of 5083128 is 8213805.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5083121) 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, 21700 + ... + 21932.

Almost surely, 2^5083128 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 5083128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7160400).

5083128 is an abundant number, since it is smaller than the sum of its proper divisors (9237672).

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

5083128 is a wasteful number, since it uses less digits than its factorization.

5083128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5083128 is about 2254.5793399213. The cubic root of 5083128 is about 171.9400367867.

The spelling of 5083128 in words is "five million, eighty-three thousand, one hundred twenty-eight".