728936208 has 360 divisors, whose sum is σ = 2761162560. Its totient is φ = 174320640.

The previous prime is 728936203. The next prime is 728936213. The reversal of 728936208 is 802639827.

728936208 is a `hidden beast` number, since 7 + 289 + 362 + 0 + 8 = 666.

728936208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (728936203) and next prime (728936213).

It is not an unprimeable number, because it can be changed into a prime (728936203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1873678 + ... + 1874066.

It is an arithmetic number, because the mean of its divisors is an integer number (7669896).

Almost surely, 2^728936208 is an apocalyptic number.

728936208 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 728936208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380581280).

728936208 is an abundant number, since it is smaller than the sum of its proper divisors (2032226352).

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

728936208 is a wasteful number, since it uses less digits than its factorization.

728936208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 728936208 is about 26998.8186408220. The cubic root of 728936208 is about 899.9737473824.

The spelling of 728936208 in words is "seven hundred twenty-eight million, nine hundred thirty-six thousand, two hundred eight".