728145920 has 112 divisors (see below), whose sum is σ = 1810649160. Its totient is φ = 280756224.

The previous prime is 728145917. The next prime is 728145931. The reversal of 728145920 is 29541827.

It can be written as a sum of positive squares in 4 ways, for example, as 342102016 + 386043904 = 18496^2 + 19648^2 .

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, 1187534 + ... + 1188146.

Almost surely, 2^728145920 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 728145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905324580).

728145920 is an abundant number, since it is smaller than the sum of its proper divisors (1082503240).

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

728145920 is an equidigital number, since it uses as much as digits as its factorization.

728145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 728145920 is about 26984.1790684838. The cubic root of 728145920 is about 899.6483894002.

The spelling of 728145920 in words is "seven hundred twenty-eight million, one hundred forty-five thousand, nine hundred twenty".