54628728 has 192 divisors, whose sum is σ = 179262720. Its totient is φ = 13708800.

The previous prime is 54628723. The next prime is 54628753. The reversal of 54628728 is 82782645.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 54628728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54628723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530325 + ... + 530427.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 2^54628728 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 54628728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

54628728 is an abundant number, since it is smaller than the sum of its proper divisors (124633992).

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

54628728 is a wasteful number, since it uses less digits than its factorization.

54628728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 54628728 is about 7391.1249482065. The cubic root of 54628728 is about 379.4375983400.

The spelling of 54628728 in words is "fifty-four million, six hundred twenty-eight thousand, seven hundred twenty-eight".