48919728 has 80 divisors (see below), whose sum is σ = 148490496. Its totient is φ = 13681920.

The previous prime is 48919669. The next prime is 48919751. The reversal of 48919728 is 82791984.

48919728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3301 + ... + 10427.

Almost surely, 2^48919728 is an apocalyptic number.

48919728 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 48919728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248).

48919728 is an abundant number, since it is smaller than the sum of its proper divisors (99570768).

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

48919728 is a wasteful number, since it uses less digits than its factorization.

48919728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7162 (or 7156 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 48919728 is about 6994.2639355403. The cubic root of 48919728 is about 365.7306388009.

The spelling of 48919728 in words is "forty-eight million, nine hundred nineteen thousand, seven hundred twenty-eight".