49257728 has 108 divisors (see below), whose sum is σ = 114478308. Its totient is φ = 21012480.

The previous prime is 49257727. The next prime is 49257731. The reversal of 49257728 is 82775294.

49257728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4528384 + 44729344 = 2128^2 + 6688^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49257727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1201388 + ... + 1201428.

Almost surely, 2^49257728 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 49257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57239154).

49257728 is an abundant number, since it is smaller than the sum of its proper divisors (65220580).

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

49257728 is a wasteful number, since it uses less digits than its factorization.

49257728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 75 counting only the distinct ones).

The product of its digits is 282240, while the sum is 44.

The square root of 49257728 is about 7018.3849994140. The cubic root of 49257728 is about 366.5710178427.

The spelling of 49257728 in words is "forty-nine million, two hundred fifty-seven thousand, seven hundred twenty-eight".