48036128 has 48 divisors (see below), whose sum is σ = 108972864. Its totient is φ = 20417280.

The previous prime is 48036113. The next prime is 48036193. The reversal of 48036128 is 82163084.

48036128 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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 48036094 and 48036103.

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 7 ways as a sum of consecutive naturals, for example, 28526 + ... + 30162.

It is an arithmetic number, because the mean of its divisors is an integer number (2270268).

Almost surely, 2^48036128 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 48036128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54486432).

48036128 is an abundant number, since it is smaller than the sum of its proper divisors (60936736).

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

48036128 is a wasteful number, since it uses less digits than its factorization.

48036128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 48036128 is about 6930.8100536662. The cubic root of 48036128 is about 363.5152747735.

The spelling of 48036128 in words is "forty-eight million, thirty-six thousand, one hundred twenty-eight".