54448128 has 156 divisors (see below), whose sum is σ = 180595168. Its totient is φ = 15482880.

The previous prime is 54448111. The next prime is 54448157. The reversal of 54448128 is 82184445.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54448092 and 54448101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257943 + ... + 258153.

Almost surely, 2^54448128 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 54448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90297584).

54448128 is an abundant number, since it is smaller than the sum of its proper divisors (126147040).

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

54448128 is a wasteful number, since it uses less digits than its factorization.

54448128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 223 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 54448128 is about 7378.8974786210. The cubic root of 54448128 is about 379.0190024423.

The spelling of 54448128 in words is "fifty-four million, four hundred forty-eight thousand, one hundred twenty-eight".