5045977728 has 512 divisors, whose sum is σ = 17625600000. Its totient is φ = 1405071360.

The previous prime is 5045977697. The next prime is 5045977753. The reversal of 5045977728 is 8277795405.

It is a happy number.

5045977728 is a `hidden beast` number, since 50 + 459 + 77 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25356573 + ... + 25356771.

It is an arithmetic number, because the mean of its divisors is an integer number (34425000).

Almost surely, 2^5045977728 is an apocalyptic number.

5045977728 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 5045977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812800000).

5045977728 is an abundant number, since it is smaller than the sum of its proper divisors (12579622272).

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

5045977728 is a wasteful number, since it uses less digits than its factorization.

5045977728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The square root of 5045977728 is about 71035.0457731956. The cubic root of 5045977728 is about 1715.2013497103.

The spelling of 5045977728 in words is "five billion, forty-five million, nine hundred seventy-seven thousand, seven hundred twenty-eight".