54358128 has 240 divisors, whose sum is σ = 181988352. Its totient is φ = 15552000.

The previous prime is 54358081. The next prime is 54358141. The reversal of 54358128 is 82185345.

It is a happy number.

54358128 is a `hidden beast` number, since 54 + 3 + 581 + 28 = 666.

54358128 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 54358092 and 54358101.

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 47 ways as a sum of consecutive naturals, for example, 1325788 + ... + 1325828.

Almost surely, 2^54358128 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 54358128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90994176).

54358128 is an abundant number, since it is smaller than the sum of its proper divisors (127630224).

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

54358128 is a wasteful number, since it uses less digits than its factorization.

54358128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 88 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 54358128 is about 7372.7964843742. The cubic root of 54358128 is about 378.8100541966.

The spelling of 54358128 in words is "fifty-four million, three hundred fifty-eight thousand, one hundred twenty-eight".