428716320 has 96 divisors (see below), whose sum is σ = 1409208192. Its totient is φ = 109350912.

The previous prime is 428716303. The next prime is 428716333. The reversal of 428716320 is 23617824.

It is a tau number, because it is divible by the number of its divisors (96).

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, 8377 + ... + 30456.

It is an arithmetic number, because the mean of its divisors is an integer number (14679252).

Almost surely, 2^428716320 is an apocalyptic number.

428716320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428716320 is an abundant number, since it is smaller than the sum of its proper divisors (980491872).

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

428716320 is a wasteful number, since it uses less digits than its factorization.

428716320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38874 (or 38866 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 428716320 is about 20705.4659450108. The cubic root of 428716320 is about 754.0323964063.

The spelling of 428716320 in words is "four hundred twenty-eight million, seven hundred sixteen thousand, three hundred twenty".