728842410 has 48 divisors (see below), whose sum is σ = 1901118024. Its totient is φ = 193729536.

The previous prime is 728842397. The next prime is 728842417. The reversal of 728842410 is 14248827.

It can be written as a sum of positive squares in 4 ways, for example, as 334780209 + 394062201 = 18297^2 + 19851^2 .

It is a super-2 number, since 2×728842410² = 1062422517229216200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (728842417) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15234 + ... + 41106.

Almost surely, 2^728842410 is an apocalyptic number.

728842410 is an abundant number, since it is smaller than the sum of its proper divisors (1172275614).

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

728842410 is a wasteful number, since it uses less digits than its factorization.

728842410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26199 (or 26196 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 728842410 is about 26997.0815089335. The cubic root of 728842410 is about 899.9351434745.

The spelling of 728842410 in words is "seven hundred twenty-eight million, eight hundred forty-two thousand, four hundred ten".