728663040 has 440 divisors, whose sum is σ = 2996021952. Its totient is φ = 165888000.

The previous prime is 728663017. The next prime is 728663041. The reversal of 728663040 is 40366827.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 728662986 and 728663004.

It is not an unprimeable number, because it can be changed into a prime (728663041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2902915 + ... + 2903165.

Almost surely, 2^728663040 is an apocalyptic number.

728663040 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 728663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498010976).

728663040 is an abundant number, since it is smaller than the sum of its proper divisors (2267358912).

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

728663040 is a wasteful number, since it uses less digits than its factorization.

728663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 728663040 is about 26993.7592787666. The cubic root of 728663040 is about 899.8613119629.

The spelling of 728663040 in words is "seven hundred twenty-eight million, six hundred sixty-three thousand, forty".