427728 has 80 divisors (see below), whose sum is σ = 1349120. Its totient is φ = 114048.

The previous prime is 427727. The next prime is 427733. The reversal of 427728 is 827724.

427728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (6272) is a multiple of the sum of its prime divisors (98).

It is a junction number, because it is equal to n+sod(n) for n = 427695 and 427704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6351 + ... + 6417.

It is an arithmetic number, because the mean of its divisors is an integer number (16864).

2⁴²⁷⁷²⁸ is an apocalyptic number.

427728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674560).

427728 is an abundant number, since it is smaller than the sum of its proper divisors (921392).

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

427728 is a wasteful number, since it uses less digits than its factorization.

427728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 427728 is about 654.0091742476. The cubic root of 427728 is about 75.3452526802.

The spelling of 427728 in words is "four hundred twenty-seven thousand, seven hundred twenty-eight".