428242560 has 128 divisors (see below), whose sum is σ = 1385812800. Its totient is φ = 112459776.

The previous prime is 428242559. The next prime is 428242621. The reversal of 428242560 is 65242824.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126976 + ... + 130304.

Almost surely, 2^428242560 is an apocalyptic number.

428242560 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 428242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692906400).

428242560 is an abundant number, since it is smaller than the sum of its proper divisors (957570240).

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

428242560 is a wasteful number, since it uses less digits than its factorization.

428242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 428242560 is about 20694.0223252996. The cubic root of 428242560 is about 753.7545420769.

The spelling of 428242560 in words is "four hundred twenty-eight million, two hundred forty-two thousand, five hundred sixty".