728759808 has 320 divisors, whose sum is σ = 2616261120. Its totient is φ = 195526656.

The previous prime is 728759767. The next prime is 728759849. The reversal of 728759808 is 808957827.

It is an interprime number because it is at equal distance from previous prime (728759767) and next prime (728759849).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1644835 + ... + 1645277.

It is an arithmetic number, because the mean of its divisors is an integer number (8175816).

Almost surely, 2^728759808 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 728759808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308130560).

728759808 is an abundant number, since it is smaller than the sum of its proper divisors (1887501312).

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

728759808 is a wasteful number, since it uses less digits than its factorization.

728759808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The square root of 728759808 is about 26995.5516335562. The cubic root of 728759808 is about 899.9011446978.

The spelling of 728759808 in words is "seven hundred twenty-eight million, seven hundred fifty-nine thousand, eight hundred eight".