49920768 has 108 divisors (see below), whose sum is σ = 147315168. Its totient is φ = 16250880.

The previous prime is 49920763. The next prime is 49920799. The reversal of 49920768 is 86702994.

It is a happy number.

49920768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (49920763) 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, 108058 + ... + 108518.

Almost surely, 2^49920768 is an apocalyptic number.

49920768 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 49920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73657584).

49920768 is an abundant number, since it is smaller than the sum of its proper divisors (97394400).

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

49920768 is a wasteful number, since it uses less digits than its factorization.

49920768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 49920768 is about 7065.4630421509. The cubic root of 49920768 is about 368.2084515297.

The spelling of 49920768 in words is "forty-nine million, nine hundred twenty thousand, seven hundred sixty-eight".