5105737728 has 336 divisors, whose sum is σ = 18176479776. Its totient is φ = 1344798720.

The previous prime is 5105737723. The next prime is 5105737753. The reversal of 5105737728 is 8277375015.

5105737728 is a `hidden beast` number, since 5 + 1 + 0 + 573 + 7 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105737723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6708868 + ... + 6709628.

It is an arithmetic number, because the mean of its divisors is an integer number (54096666).

Almost surely, 2^5105737728 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 5105737728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9088239888).

5105737728 is an abundant number, since it is smaller than the sum of its proper divisors (13070742048).

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

5105737728 is a wasteful number, since it uses less digits than its factorization.

5105737728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 5105737728 is about 71454.4451241489. The cubic root of 5105737728 is about 1721.9458921839.

The spelling of 5105737728 in words is "five billion, one hundred five million, seven hundred thirty-seven thousand, seven hundred twenty-eight".