412728 has 32 divisors (see below), whose sum is σ = 1069200. Its totient is φ = 132608.

The previous prime is 412717. The next prime is 412739. The reversal of 412728 is 827214.

It is an interprime number because it is at equal distance from previous prime (412717) and next prime (412739).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 412698 and 412707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400 + ... + 992.

2⁴¹²⁷²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534600).

412728 is an abundant number, since it is smaller than the sum of its proper divisors (656472).

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

412728 is a wasteful number, since it uses less digits than its factorization.

412728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 627 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 412728 is about 642.4391021723. The cubic root of 412728 is about 74.4539901788.

The spelling of 412728 in words is "four hundred twelve thousand, seven hundred twenty-eight".