53728532 has 96 divisors (see below), whose sum is σ = 118540800. Its totient is φ = 20966400.

The previous prime is 53728531. The next prime is 53728537. The reversal of 53728532 is 23582735.

53728532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (50400) is a multiple of the sum of its prime divisors (175).

It is a junction number, because it is equal to n+sod(n) for n = 53728492 and 53728501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53728531) 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 31 ways as a sum of consecutive naturals, for example, 680069 + ... + 680147.

It is an arithmetic number, because the mean of its divisors is an integer number (1234800).

Almost surely, 2^53728532 is an apocalyptic number.

53728532 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

53728532 is an abundant number, since it is smaller than the sum of its proper divisors (64812268).

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

53728532 is a wasteful number, since it uses less digits than its factorization.

53728532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its digits is 50400, while the sum is 35.

The square root of 53728532 is about 7329.9748976378. The cubic root of 53728532 is about 377.3418649682.

The spelling of 53728532 in words is "fifty-three million, seven hundred twenty-eight thousand, five hundred thirty-two".