728208 has 60 divisors (see below), whose sum is σ = 2200380. Its totient is φ = 223488.

The previous prime is 728207. The next prime is 728209. The reversal of 728208 is 802827.

It is an interprime number because it is at equal distance from previous prime (728207) and next prime (728209).

It can be written as a sum of positive squares in 2 ways, for example, as 138384 + 589824 = 372^2 + 768^2 .

It is not an unprimeable number, because it can be changed into a prime (728207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1678 + ... + 2066.

It is an arithmetic number, because the mean of its divisors is an integer number (36673).

2⁷²⁸²⁰⁸ is an apocalyptic number.

728208 is a gapful number since it is divisible by the number (78) 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 728208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100190).

728208 is an abundant number, since it is smaller than the sum of its proper divisors (1472172).

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

728208 is a wasteful number, since it uses less digits than its factorization.

728208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 728208 is about 853.3510414829. The cubic root of 728208 is about 89.9673955972.

The spelling of 728208 in words is "seven hundred twenty-eight thousand, two hundred eight".