728330240 has 208 divisors, whose sum is σ = 1974489696. Its totient is φ = 255590400.

The previous prime is 728330233. The next prime is 728330243. The reversal of 728330240 is 42033827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728330243) 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 15 ways as a sum of consecutive naturals, for example, 11939810 + ... + 11939870.

Almost surely, 2^728330240 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 728330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987244848).

728330240 is an abundant number, since it is smaller than the sum of its proper divisors (1246159456).

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

728330240 is a wasteful number, since it uses less digits than its factorization.

728330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 728330240 is about 26987.5941869593. The cubic root of 728330240 is about 899.7242941498.

The spelling of 728330240 in words is "seven hundred twenty-eight million, three hundred thirty thousand, two hundred forty".