53724528 has 120 divisors (see below), whose sum is σ = 176707440. Its totient is φ = 15022080.

The previous prime is 53724521. The next prime is 53724547. The reversal of 53724528 is 82542735.

53724528 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 = 53724492 and 53724501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53724521) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19288 + ... + 21896.

It is an arithmetic number, because the mean of its divisors is an integer number (1472562).

Almost surely, 2^53724528 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 53724528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88353720).

53724528 is an abundant number, since it is smaller than the sum of its proper divisors (122982912).

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

53724528 is a wasteful number, since it uses less digits than its factorization.

53724528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2638 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 53724528 is about 7329.7017674664. The cubic root of 53724528 is about 377.3324912128.

The spelling of 53724528 in words is "fifty-three million, seven hundred twenty-four thousand, five hundred twenty-eight".