54112128 has 128 divisors (see below), whose sum is σ = 168618240. Its totient is φ = 15052800.

The previous prime is 54112111. The next prime is 54112141. The reversal of 54112128 is 82121145.

54112128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×54112128³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 54112098 and 54112107.

It is a congruent number.

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, 109963 + ... + 110453.

It is an arithmetic number, because the mean of its divisors is an integer number (1317330).

Almost surely, 2^54112128 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 54112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84309120).

54112128 is an abundant number, since it is smaller than the sum of its proper divisors (114506112).

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

54112128 is a wasteful number, since it uses less digits than its factorization.

54112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 544 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 54112128 is about 7356.0946160310. The cubic root of 54112128 is about 378.2377497068.

The spelling of 54112128 in words is "fifty-four million, one hundred twelve thousand, one hundred twenty-eight".