728562240 has 336 divisors, whose sum is σ = 2909986560. Its totient is φ = 163860480.

The previous prime is 728562193. The next prime is 728562281. The reversal of 728562240 is 42265827.

728562240 is a `hidden beast` number, since 7 + 28 + 5 + 622 + 4 + 0 = 666.

728562240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 728562195 and 728562204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1431106 + ... + 1431614.

Almost surely, 2^728562240 is an apocalyptic number.

728562240 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 728562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454993280).

728562240 is an abundant number, since it is smaller than the sum of its proper divisors (2181424320).

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

728562240 is a wasteful number, since it uses less digits than its factorization.

728562240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 728562240 is about 26991.8921159670. The cubic root of 728562240 is about 899.8198157805.

The spelling of 728562240 in words is "seven hundred twenty-eight million, five hundred sixty-two thousand, two hundred forty".