410728 has 8 divisors (see below), whose sum is σ = 770130. Its totient is φ = 205360.

The previous prime is 410717. The next prime is 410731. The reversal of 410728 is 827014.

It can be written as a sum of positive squares in only one way, i.e., 293764 + 116964 = 542^2 + 342^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 410699 and 410708.

It is an unprimeable number.

410728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25663 + ... + 25678.

2⁴¹⁰⁷²⁸ is an apocalyptic number.

It is an amenable number.

410728 is a deficient number, since it is larger than the sum of its proper divisors (359402).

410728 is a wasteful number, since it uses less digits than its factorization.

410728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51347 (or 51343 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 410728 is about 640.8806441140. The cubic root of 410728 is about 74.3335321884. Note that the first 3 decimals are identical.

The spelling of 410728 in words is "four hundred ten thousand, seven hundred twenty-eight".