415728 has 30 divisors (see below), whose sum is σ = 1163864. Its totient is φ = 138528.

The previous prime is 415721. The next prime is 415729. The reversal of 415728 is 827514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415721) by changing a digit.

415728 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 5 ways as a sum of consecutive naturals, for example, 1300 + ... + 1587.

2⁴¹⁵⁷²⁸ is an apocalyptic number.

415728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

415728 is an abundant number, since it is smaller than the sum of its proper divisors (748136).

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

415728 is a wasteful number, since it uses less digits than its factorization.

415728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2892 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 415728 is about 644.7697263365. The cubic root of 415728 is about 74.6339496686.

The spelling of 415728 in words is "four hundred fifteen thousand, seven hundred twenty-eight".