53728200 has 144 divisors (see below), whose sum is σ = 190054800. Its totient is φ = 13564800.

The previous prime is 53728183. The next prime is 53728217. The reversal of 53728200 is 282735.

It is an interprime number because it is at equal distance from previous prime (53728183) and next prime (53728217).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33415 + ... + 34985.

It is an arithmetic number, because the mean of its divisors is an integer number (1319825).

Almost surely, 2^53728200 is an apocalyptic number.

53728200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53728200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95027400).

53728200 is an abundant number, since it is smaller than the sum of its proper divisors (136326600).

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

53728200 is a wasteful number, since it uses less digits than its factorization.

53728200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 53728200 is about 7329.9522508677. The cubic root of 53728200 is about 377.3410877415.

The spelling of 53728200 in words is "fifty-three million, seven hundred twenty-eight thousand, two hundred".