53728900 has 27 divisors (see below), whose sum is σ = 116750991. Its totient is φ = 21462240.

The previous prime is 53728889. The next prime is 53728907. The reversal of 53728900 is 982735.

The square root of 53728900 is 7330.

It is a perfect power (a square), and thus also a powerful number.

53728900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12152196 + 41576704 = 3486^2 + 6448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53728907) 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 8 ways as a sum of consecutive naturals, for example, 72934 + ... + 73666.

Almost surely, 2^53728900 is an apocalyptic number.

53728900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53728900 is the 7330-th square number.

It is an amenable number.

53728900 is an abundant number, since it is smaller than the sum of its proper divisors (63022091).

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

53728900 is an equidigital number, since it uses as much as digits as its factorization.

53728900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The cubic root of 53728900 is about 377.3427264688.

The spelling of 53728900 in words is "fifty-three million, seven hundred twenty-eight thousand, nine hundred".