728854000 has 160 divisors (see below), whose sum is σ = 2042726400. Its totient is φ = 246355200.

The previous prime is 728853967. The next prime is 728854031. The reversal of 728854000 is 458827.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1105671 + ... + 1106329.

It is an arithmetic number, because the mean of its divisors is an integer number (12767040).

Almost surely, 2^728854000 is an apocalyptic number.

728854000 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 728854000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021363200).

728854000 is an abundant number, since it is smaller than the sum of its proper divisors (1313872400).

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

728854000 is a wasteful number, since it uses less digits than its factorization.

728854000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 728854000 is about 26997.2961609121. The cubic root of 728854000 is about 899.9399136840.

The spelling of 728854000 in words is "seven hundred twenty-eight million, eight hundred fifty-four thousand".