416728 has 16 divisors (see below), whose sum is σ = 841680. Its totient is φ = 192288.

The previous prime is 416719. The next prime is 416761. The reversal of 416728 is 827614.

It is a junction number, because it is equal to n+sod(n) for n = 416696 and 416705.

It is a congruent number.

It is an unprimeable number.

416728 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1900 + ... + 2107.

It is an arithmetic number, because the mean of its divisors is an integer number (52605).

2⁴¹⁶⁷²⁸ is an apocalyptic number.

It is an amenable number.

416728 is an abundant number, since it is smaller than the sum of its proper divisors (424952).

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

416728 is a wasteful number, since it uses less digits than its factorization.

416728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4022 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 416728 is about 645.5447312154. The cubic root of 416728 is about 74.6937437227.

The spelling of 416728 in words is "four hundred sixteen thousand, seven hundred twenty-eight".