54350128 has 40 divisors (see below), whose sum is σ = 121063680. Its totient is φ = 23154240.

The previous prime is 54350123. The next prime is 54350141. The reversal of 54350128 is 82105345.

It is a super-4 number, since 4×54350128⁴ (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 54350096 and 54350105.

It is not an unprimeable number, because it can be changed into a prime (54350123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18693 + ... + 21403.

It is an arithmetic number, because the mean of its divisors is an integer number (3026592).

Almost surely, 2^54350128 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 54350128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60531840).

54350128 is an abundant number, since it is smaller than the sum of its proper divisors (66713552).

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

54350128 is a wasteful number, since it uses less digits than its factorization.

54350128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 54350128 is about 7372.2539294303. The cubic root of 54350128 is about 378.7914698608.

The spelling of 54350128 in words is "fifty-four million, three hundred fifty thousand, one hundred twenty-eight".