728512000 has 80 divisors (see below), whose sum is σ = 1816749792. Its totient is φ = 291379200.

The previous prime is 728511991. The next prime is 728512019. The reversal of 728512000 is 215827.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58309 + ... + 69691.

Almost surely, 2^728512000 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 728512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908374896).

728512000 is an abundant number, since it is smaller than the sum of its proper divisors (1088237792).

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

728512000 is an equidigital number, since it uses as much as digits as its factorization.

728512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11416 (or 11390 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 728512000 is about 26990.9614500855. The cubic root of 728512000 is about 899.7991321271.

Adding to 728512000 its reverse (215827), we get a palindrome (728727827).

The spelling of 728512000 in words is "seven hundred twenty-eight million, five hundred twelve thousand".