5127031728 has 480 divisors, whose sum is σ = 18795352576. Its totient is φ = 1316818944.

The previous prime is 5127031727. The next prime is 5127031733. The reversal of 5127031728 is 8271307215.

5127031728 is a `hidden beast` number, since 51 + 270 + 317 + 28 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 5127031692 and 5127031701.

It is not an unprimeable number, because it can be changed into a prime (5127031727) 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, 15213576 + ... + 15213912.

Almost surely, 2^5127031728 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 5127031728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9397676288).

5127031728 is an abundant number, since it is smaller than the sum of its proper divisors (13668320848).

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

5127031728 is a wasteful number, since it uses less digits than its factorization.

5127031728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 5127031728 is about 71603.2941141677. The cubic root of 5127031728 is about 1724.3364222706.

The spelling of 5127031728 in words is "five billion, one hundred twenty-seven million, thirty-one thousand, seven hundred twenty-eight".