728487840 has 96 divisors (see below), whose sum is σ = 2303441280. Its totient is φ = 193526784.

The previous prime is 728487769. The next prime is 728487841. The reversal of 728487840 is 48784827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 728487840.

It is not an unprimeable number, because it can be changed into a prime (728487841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130221 + ... + 135699.

It is an arithmetic number, because the mean of its divisors is an integer number (23994180).

Almost surely, 2^728487840 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 728487840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151720640).

728487840 is an abundant number, since it is smaller than the sum of its proper divisors (1574953440).

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

728487840 is a wasteful number, since it uses less digits than its factorization.

728487840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 48.

The square root of 728487840 is about 26990.5138891426. The cubic root of 728487840 is about 899.7891851908.

The spelling of 728487840 in words is "seven hundred twenty-eight million, four hundred eighty-seven thousand, eight hundred forty".