728152200 has 384 divisors, whose sum is σ = 2714112000. Its totient is φ = 178848000.

The previous prime is 728152199. The next prime is 728152207. The reversal of 728152200 is 2251827.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728152207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4822125 + ... + 4822275.

It is an arithmetic number, because the mean of its divisors is an integer number (7068000).

Almost surely, 2^728152200 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 728152200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357056000).

728152200 is an abundant number, since it is smaller than the sum of its proper divisors (1985959800).

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

728152200 is a wasteful number, since it uses less digits than its factorization.

728152200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 728152200 is about 26984.2954327142. The cubic root of 728152200 is about 899.6509757754.

The spelling of 728152200 in words is "seven hundred twenty-eight million, one hundred fifty-two thousand, two hundred".