5003386128 has 480 divisors, whose sum is σ = 16833922560. Its totient is φ = 1373552640.

The previous prime is 5003386123. The next prime is 5003386159. The reversal of 5003386128 is 8216833005.

5003386128 is a `hidden beast` number, since 5 + 0 + 0 + 3 + 38 + 612 + 8 = 666.

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 = 5003386092 and 5003386101.

It is not an unprimeable number, because it can be changed into a prime (5003386123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68539500 + ... + 68539572.

It is an arithmetic number, because the mean of its divisors is an integer number (35070672).

Almost surely, 2^5003386128 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 5003386128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8416961280).

5003386128 is an abundant number, since it is smaller than the sum of its proper divisors (11830536432).

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

5003386128 is a wasteful number, since it uses less digits than its factorization.

5003386128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5003386128 is about 70734.6176069398. The cubic root of 5003386128 is about 1710.3618727323.

It can be divided in two parts, 50033 and 86128, that added together give a square (136161 = 369²).

The spelling of 5003386128 in words is "five billion, three million, three hundred eighty-six thousand, one hundred twenty-eight".