478728 has 48 divisors (see below), whose sum is σ = 1329900. Its totient is φ = 155520.

The previous prime is 478727. The next prime is 478729. The reversal of 478728 is 827874.

478728 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (478727) and next prime (478729).

It can be written as a sum of positive squares in 2 ways, for example, as 459684 + 19044 = 678^2 + 138^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 478692 and 478701.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 478728.

It is not an unprimeable number, because it can be changed into a prime (478727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4338 + ... + 4446.

2⁴⁷⁸⁷²⁸ 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 478728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664950).

478728 is an abundant number, since it is smaller than the sum of its proper divisors (851172).

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

478728 is a wasteful number, since it uses less digits than its factorization.

478728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 478728 is about 691.9017271260. The cubic root of 478728 is about 78.2281289779.

The spelling of 478728 in words is "four hundred seventy-eight thousand, seven hundred twenty-eight".