428016 has 40 divisors (see below), whose sum is σ = 1140304. Its totient is φ = 138240.

The previous prime is 428003. The next prime is 428023. The reversal of 428016 is 610824.

It is a junction number, because it is equal to n+sod(n) for n = 427983 and 428001.

It is a congruent number.

It is an unprimeable number.

428016 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 7 ways as a sum of consecutive naturals, for example, 1656 + ... + 1896.

2⁴²⁸⁰¹⁶ 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 428016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570152).

428016 is an abundant number, since it is smaller than the sum of its proper divisors (712288).

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

428016 is a wasteful number, since it uses less digits than its factorization.

428016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 428016 is about 654.2293175944. The cubic root of 428016 is about 75.3621595029.

The spelling of 428016 in words is "four hundred twenty-eight thousand, sixteen".