5082028128 has 96 divisors (see below), whose sum is σ = 15005783520. Its totient is φ = 1693986048.

The previous prime is 5082028123. The next prime is 5082028139. The reversal of 5082028128 is 8218202805.

It is a happy number.

5082028128 is a `hidden beast` number, since 508 + 2 + 0 + 28 + 128 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 5082028092 and 5082028101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5082028123) 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, 33676 + ... + 106292.

It is an arithmetic number, because the mean of its divisors is an integer number (156310245).

Almost surely, 2^5082028128 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 5082028128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7502891760).

5082028128 is an abundant number, since it is smaller than the sum of its proper divisors (9923755392).

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

5082028128 is an frugal number, since it uses more digits than its factorization.

5082028128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72648 (or 72622 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 5082028128 is about 71288.3449660602. The cubic root of 5082028128 is about 1719.2763460221.

The spelling of 5082028128 in words is "five billion, eighty-two million, twenty-eight thousand, one hundred twenty-eight".