728826760 has 64 divisors (see below), whose sum is σ = 1717303680. Its totient is φ = 277854720.

The previous prime is 728826743. The next prime is 728826767. The reversal of 728826760 is 67628827.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 728826760.

It is not an unprimeable number, because it can be changed into a prime (728826767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286695 + ... + 289225.

It is an arithmetic number, because the mean of its divisors is an integer number (26832870).

Almost surely, 2^728826760 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 728826760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858651840).

728826760 is an abundant number, since it is smaller than the sum of its proper divisors (988476920).

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

728826760 is a wasteful number, since it uses less digits than its factorization.

728826760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 728826760 is about 26996.7916612326. The cubic root of 728826760 is about 899.9287021709.

The spelling of 728826760 in words is "seven hundred twenty-eight million, eight hundred twenty-six thousand, seven hundred sixty".