728640000 has 600 divisors, whose sum is σ = 2991317472. Its totient is φ = 168960000.

The previous prime is 728639981. The next prime is 728640037. The reversal of 728640000 is 46827.

It is a tau number, because it is divible by the number of its divisors (600).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31679989 + ... + 31680011.

Almost surely, 2^728640000 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 728640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495658736).

728640000 is an abundant number, since it is smaller than the sum of its proper divisors (2262677472).

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

728640000 is a wasteful number, since it uses less digits than its factorization.

728640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 728640000 is about 26993.3325100848. The cubic root of 728640000 is about 899.8518274586.

Adding to 728640000 its reverse (46827), we get a palindrome (728686827).

The spelling of 728640000 in words is "seven hundred twenty-eight million, six hundred forty thousand".