4957728 has 48 divisors (see below), whose sum is σ = 13327776. Its totient is φ = 1612800.

The previous prime is 4957723. The next prime is 4957739. The reversal of 4957728 is 8277594.

4957728 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4957728.

It is not an unprimeable number, because it can be changed into a prime (4957721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3528 + ... + 4728.

It is an arithmetic number, because the mean of its divisors is an integer number (277662).

Almost surely, 2^4957728 is an apocalyptic number.

4957728 is a gapful number since it is divisible by the number (48) 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 4957728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6663888).

4957728 is an abundant number, since it is smaller than the sum of its proper divisors (8370048).

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

4957728 is a wasteful number, since it uses less digits than its factorization.

4957728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1249 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 4957728 is about 2226.5956076486. The cubic root of 4957728 is about 170.5143361899.

The spelling of 4957728 in words is "four million, nine hundred fifty-seven thousand, seven hundred twenty-eight".