428296960 has 144 divisors (see below), whose sum is σ = 1262995776. Its totient is φ = 135512064.

The previous prime is 428296943. The next prime is 428296987. The reversal of 428296960 is 69692824.

It is a self number, because there is not a number n which added to its sum of digits gives 428296960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114642 + ... + 118318.

It is an arithmetic number, because the mean of its divisors is an integer number (8770804).

Almost surely, 2^428296960 is an apocalyptic number.

428296960 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 428296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631497888).

428296960 is an abundant number, since it is smaller than the sum of its proper divisors (834698816).

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

428296960 is a wasteful number, since it uses less digits than its factorization.

428296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 428296960 is about 20695.3366727869. The cubic root of 428296960 is about 753.7864574093.

The spelling of 428296960 in words is "four hundred twenty-eight million, two hundred ninety-six thousand, nine hundred sixty".