428560 has 40 divisors (see below), whose sum is σ = 1089216. Its totient is φ = 155520.

The previous prime is 428557. The next prime is 428563. The reversal of 428560 is 65824.

It is an interprime number because it is at equal distance from previous prime (428557) and next prime (428563).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (428563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 637 + ... + 1123.

2⁴²⁸⁵⁶⁰ is an apocalyptic number.

428560 is a gapful number since it is divisible by the number (40) 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 428560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544608).

428560 is an abundant number, since it is smaller than the sum of its proper divisors (660656).

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

428560 is a wasteful number, since it uses less digits than its factorization.

428560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 428560 is about 654.6449419342. The cubic root of 428560 is about 75.3940739315.

The spelling of 428560 in words is "four hundred twenty-eight thousand, five hundred sixty".