5017840128 has 240 divisors, whose sum is σ = 16785253056. Its totient is φ = 1413365760.

The previous prime is 5017840111. The next prime is 5017840187. The reversal of 5017840128 is 8210487105.

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 = 5017840092 and 5017840101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2353623 + ... + 2355753.

Almost surely, 2^5017840128 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 5017840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8392626528).

5017840128 is an abundant number, since it is smaller than the sum of its proper divisors (11767412928).

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

5017840128 is a wasteful number, since it uses less digits than its factorization.

5017840128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 5017840128 is about 70836.7145483188. The cubic root of 5017840128 is about 1712.0072786251.

The spelling of 5017840128 in words is "five billion, seventeen million, eight hundred forty thousand, one hundred twenty-eight".