728850760 has 48 divisors (see below), whose sum is σ = 1802562300. Its totient is φ = 265034880.

The previous prime is 728850743. The next prime is 728850779. The reversal of 728850760 is 67058827.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 728676036 + 174724 = 26994^2 + 418^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70455 + ... + 80134.

Almost surely, 2^728850760 is an apocalyptic number.

It is an amenable number.

728850760 is an abundant number, since it is smaller than the sum of its proper divisors (1073711540).

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

728850760 is a wasteful number, since it uses less digits than its factorization.

728850760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150622 (or 150607 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The square root of 728850760 is about 26997.2361548363. The cubic root of 728850760 is about 899.9385801707.

The spelling of 728850760 in words is "seven hundred twenty-eight million, eight hundred fifty thousand, seven hundred sixty".