728856810 has 288 divisors, whose sum is σ = 2294562816. Its totient is φ = 159667200.

The previous prime is 728856787. The next prime is 728856839. The reversal of 728856810 is 18658827.

728856810 is a `hidden beast` number, since 7 + 2 + 88 + 568 + 1 + 0 = 666.

It is a super-2 number, since 2×728856810² = 1062464498966752200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 5738967 + ... + 5739093.

It is an arithmetic number, because the mean of its divisors is an integer number (7967232).

Almost surely, 2^728856810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728856810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147281408).

728856810 is an abundant number, since it is smaller than the sum of its proper divisors (1565706006).

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

728856810 is a wasteful number, since it uses less digits than its factorization.

728856810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 728856810 is about 26997.3482031106. The cubic root of 728856810 is about 899.9410702156.

The spelling of 728856810 in words is "seven hundred twenty-eight million, eight hundred fifty-six thousand, eight hundred ten".