5077728 has 72 divisors (see below), whose sum is σ = 14997528. Its totient is φ = 1689984.

The previous prime is 5077711. The next prime is 5077753. The reversal of 5077728 is 8277705.

5077728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 5077692 and 5077701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7450 + ... + 8102.

It is an arithmetic number, because the mean of its divisors is an integer number (208299).

Almost surely, 2^5077728 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 5077728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7498764).

5077728 is an abundant number, since it is smaller than the sum of its proper divisors (9919800).

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

5077728 is an equidigital number, since it uses as much as digits as its factorization.

5077728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 5077728 is about 2253.3814590522. The cubic root of 5077728 is about 171.8791290688.

It can be divided in two parts, 50777 and 28, that added together give a palindrome (50805).

The spelling of 5077728 in words is "five million, seventy-seven thousand, seven hundred twenty-eight".