428960 has 48 divisors (see below), whose sum is σ = 1161216. Its totient is φ = 146688.

The previous prime is 428957. The next prime is 428977. The reversal of 428960 is 69824.

428960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 929 + ... + 1311.

It is an arithmetic number, because the mean of its divisors is an integer number (24192).

2⁴²⁸⁹⁶⁰ is an apocalyptic number.

428960 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 428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580608).

428960 is an abundant number, since it is smaller than the sum of its proper divisors (732256).

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

428960 is a wasteful number, since it uses less digits than its factorization.

428960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 428960 is about 654.9503797999. The cubic root of 428960 is about 75.4175231971.

The spelling of 428960 in words is "four hundred twenty-eight thousand, nine hundred sixty".