54128000 has 128 divisors (see below), whose sum is σ = 143208000. Its totient is φ = 20275200.

The previous prime is 54127987. The next prime is 54128033. The reversal of 54128000 is 82145.

54128000 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 Harshad number since it is a multiple of its sum of digits (20).

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, 271901 + ... + 272099.

Almost surely, 2^54128000 is an apocalyptic number.

54128000 is a gapful number since it is divisible by the number (50) 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 54128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71604000).

54128000 is an abundant number, since it is smaller than the sum of its proper divisors (89080000).

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

54128000 is a wasteful number, since it uses less digits than its factorization.

54128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 54128000 is about 7357.1733702557. The cubic root of 54128000 is about 378.2747272625.

The spelling of 54128000 in words is "fifty-four million, one hundred twenty-eight thousand".