728659200 has 108 divisors (see below), whose sum is σ = 2404790528. Its totient is φ = 194304000.

The previous prime is 728659199. The next prime is 728659207. The reversal of 728659200 is 2956827.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728659207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225 + ... + 38175.

Almost surely, 2^728659200 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 728659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202395264).

728659200 is an abundant number, since it is smaller than the sum of its proper divisors (1676131328).

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

728659200 is a wasteful number, since it uses less digits than its factorization.

728659200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37980 (or 37961 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 728659200 is about 26993.6881511216. The cubic root of 728659200 is about 899.8597312261.

The spelling of 728659200 in words is "seven hundred twenty-eight million, six hundred fifty-nine thousand, two hundred".