54507528 has 48 divisors (see below), whose sum is σ = 148777200. Its totient is φ = 18027360.

The previous prime is 54507499. The next prime is 54507547. The reversal of 54507528 is 82570545.

It is a happy number.

54507528 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 = 54507492 and 54507501.

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 11 ways as a sum of consecutive naturals, for example, 6543 + ... + 12321.

It is an arithmetic number, because the mean of its divisors is an integer number (3099525).

Almost surely, 2^54507528 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 54507528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74388600).

54507528 is an abundant number, since it is smaller than the sum of its proper divisors (94269672).

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

54507528 is a wasteful number, since it uses less digits than its factorization.

54507528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5922 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 54507528 is about 7382.9213730068. The cubic root of 54507528 is about 379.1567821814.

The spelling of 54507528 in words is "fifty-four million, five hundred seven thousand, five hundred twenty-eight".