5127148728 has 384 divisors, whose sum is σ = 16841260800. Its totient is φ = 1393459200.

The previous prime is 5127148723. The next prime is 5127148739. The reversal of 5127148728 is 8278417215.

5127148728 is a `hidden beast` number, since 512 + 71 + 48 + 7 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5127148723) 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, 18919233 + ... + 18919503.

It is an arithmetic number, because the mean of its divisors is an integer number (43857450).

Almost surely, 2^5127148728 is an apocalyptic number.

5127148728 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5127148728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8420630400).

5127148728 is an abundant number, since it is smaller than the sum of its proper divisors (11714112072).

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

5127148728 is a wasteful number, since it uses less digits than its factorization.

5127148728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 376 counting only the distinct ones).

The product of its digits is 250880, while the sum is 45.

The square root of 5127148728 is about 71604.1111110249. Note that the first 6 decimals coincide. The cubic root of 5127148728 is about 1724.3495387505.

It can be divided in two parts, 51271 and 48728, that added together give a palindrome (99999).

The spelling of 5127148728 in words is "five billion, one hundred twenty-seven million, one hundred forty-eight thousand, seven hundred twenty-eight".