728217810 has 128 divisors (see below), whose sum is σ = 2006726400. Its totient is φ = 187799040.

The previous prime is 728217793. The next prime is 728217821. The reversal of 728217810 is 18712827.

It is a happy number.

It is a super-2 number, since 2×728217810² = 1060602357602392200, which contains 22 as substring.

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 1737781 + ... + 1738199.

It is an arithmetic number, because the mean of its divisors is an integer number (15677550).

Almost surely, 2^728217810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728217810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003363200).

728217810 is an abundant number, since it is smaller than the sum of its proper divisors (1278508590).

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

728217810 is a wasteful number, since it uses less digits than its factorization.

728217810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 728217810 is about 26985.5111124470. The cubic root of 728217810 is about 899.6779959175.

The spelling of 728217810 in words is "seven hundred twenty-eight million, two hundred seventeen thousand, eight hundred ten".