477828 has 36 divisors (see below), whose sum is σ = 1302028. Its totient is φ = 146880.

The previous prime is 477823. The next prime is 477839. The reversal of 477828 is 828774.

It can be written as a sum of positive squares in 2 ways, for example, as 166464 + 311364 = 408^2 + 558^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 477792 and 477801.

It is not an unprimeable number, because it can be changed into a prime (477821) by changing a digit.

477828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43 + ... + 978.

2⁴⁷⁷⁸²⁸ 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 477828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651014).

477828 is an abundant number, since it is smaller than the sum of its proper divisors (824200).

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

477828 is a wasteful number, since it uses less digits than its factorization.

477828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1039 counting only the distinct ones).

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

The square root of 477828 is about 691.2510397822. The cubic root of 477828 is about 78.1790757351.

It can be divided in two parts, 47 and 7828, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 477828 in words is "four hundred seventy-seven thousand, eight hundred twenty-eight".