728860880 has 80 divisors (see below), whose sum is σ = 1856131200. Its totient is φ = 263969280.

The previous prime is 728860861. The next prime is 728860883. The reversal of 728860880 is 88068827.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728860883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235181 + ... + 238259.

It is an arithmetic number, because the mean of its divisors is an integer number (23201640).

Almost surely, 2^728860880 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 728860880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928065600).

728860880 is an abundant number, since it is smaller than the sum of its proper divisors (1127270320).

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

728860880 is a wasteful number, since it uses less digits than its factorization.

728860880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 47.

The square root of 728860880 is about 26997.4235807790. The cubic root of 728860880 is about 899.9427453289.

The spelling of 728860880 in words is "seven hundred twenty-eight million, eight hundred sixty thousand, eight hundred eighty".