428672 has 32 divisors (see below), whose sum is σ = 908820. Its totient is φ = 200704.

The previous prime is 428671. The next prime is 428677. The reversal of 428672 is 276824.

It can be written as a sum of positive squares in 2 ways, for example, as 341056 + 87616 = 584^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (428671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2078 + ... + 2274.

2⁴²⁸⁶⁷² 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 428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454410).

428672 is an abundant number, since it is smaller than the sum of its proper divisors (480148).

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

428672 is a wasteful number, since it uses less digits than its factorization.

428672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 428672 is about 654.7304788995. The cubic root of 428672 is about 75.4006411961.

The spelling of 428672 in words is "four hundred twenty-eight thousand, six hundred seventy-two".