728895000 has 80 divisors (see below), whose sum is σ = 2277114840. Its totient is φ = 194368000.

The previous prime is 728894993. The next prime is 728895023. The reversal of 728895000 is 598827.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 728895000.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 9297 + ... + 39296.

Almost surely, 2^728895000 is an apocalyptic number.

It is an amenable number.

728895000 is an abundant number, since it is smaller than the sum of its proper divisors (1548219840).

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

728895000 is a wasteful number, since it uses less digits than its factorization.

728895000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48622 (or 48603 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 728895000 is about 26998.0554855345. The cubic root of 728895000 is about 899.9567880487.

The spelling of 728895000 in words is "seven hundred twenty-eight million, eight hundred ninety-five thousand".