728523040 has 96 divisors (see below), whose sum is σ = 1975446144. Its totient is φ = 248709120.

The previous prime is 728523031. The next prime is 728523041. The reversal of 728523040 is 40325827.

It is a junction number, because it is equal to n+sod(n) for n = 728522993 and 728523011.

It is not an unprimeable number, because it can be changed into a prime (728523041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286575 + ... + 289105.

It is an arithmetic number, because the mean of its divisors is an integer number (20577564).

Almost surely, 2^728523040 is an apocalyptic number.

728523040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987723072).

728523040 is an abundant number, since it is smaller than the sum of its proper divisors (1246923104).

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

728523040 is a wasteful number, since it uses less digits than its factorization.

728523040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 728523040 is about 26991.1659622181. The cubic root of 728523040 is about 899.8036773426.

Adding to 728523040 its reverse (40325827), we get a palindrome (768848867).

The spelling of 728523040 in words is "seven hundred twenty-eight million, five hundred twenty-three thousand, forty".