728000 has 112 divisors (see below), whose sum is σ = 2218944. Its totient is φ = 230400.

The previous prime is 727997. The next prime is 728003. The reversal of 728000 is 827.

It is an interprime number because it is at equal distance from previous prime (727997) and next prime (728003).

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 728000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55994 + ... + 56006.

It is an arithmetic number, because the mean of its divisors is an integer number (19812).

2⁷²⁸⁰⁰⁰ is an apocalyptic number.

728000 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 728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109472).

728000 is an abundant number, since it is smaller than the sum of its proper divisors (1490944).

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

728000 is a wasteful number, since it uses less digits than its factorization.

728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 728000 is about 853.2291603081. The cubic root of 728000 is about 89.9588289055.

Adding to 728000 its reverse (827), we get a palindrome (728827).

The spelling of 728000 in words is "seven hundred twenty-eight thousand".