728547840 has 240 divisors, whose sum is σ = 2555961408. Its totient is φ = 191766528.

The previous prime is 728547821. The next prime is 728547847. The reversal of 728547840 is 48745827.

728547840 is a `hidden beast` number, since 7 + 28 + 547 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (728547847) 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 23 ways as a sum of consecutive naturals, for example, 2372967 + ... + 2373273.

Almost surely, 2^728547840 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 728547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277980704).

728547840 is an abundant number, since it is smaller than the sum of its proper divisors (1827413568).

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

728547840 is a wasteful number, since it uses less digits than its factorization.

728547840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 728547840 is about 26991.6253678803. The cubic root of 728547840 is about 899.8138874420.

The spelling of 728547840 in words is "seven hundred twenty-eight million, five hundred forty-seven thousand, eight hundred forty".