5142592728 has 288 divisors, whose sum is σ = 18015903360. Its totient is φ = 1312174080.

The previous prime is 5142592727. The next prime is 5142592733. The reversal of 5142592728 is 8272952415.

5142592728 is a `hidden beast` number, since 51 + 4 + 2 + 592 + 7 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142592727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1419976 + ... + 1423592.

It is an arithmetic number, because the mean of its divisors is an integer number (62555220).

Almost surely, 2^5142592728 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 5142592728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9007951680).

5142592728 is an abundant number, since it is smaller than the sum of its proper divisors (12873310632).

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

5142592728 is a wasteful number, since it uses less digits than its factorization.

5142592728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3673 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 5142592728 is about 71711.8729918554. The cubic root of 5142592728 is about 1726.0791654356.

The spelling of 5142592728 in words is "five billion, one hundred forty-two million, five hundred ninety-two thousand, seven hundred twenty-eight".