428640384 has 64 divisors (see below), whose sum is σ = 1147402080. Its totient is φ = 141772800.

The previous prime is 428640347. The next prime is 428640391. The reversal of 428640384 is 483046824.

It is a tau number, because it is divible by the number of its divisors (64).

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, 46044 + ... + 54564.

Almost surely, 2^428640384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428640384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573701040).

428640384 is an abundant number, since it is smaller than the sum of its proper divisors (718761696).

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

428640384 is a wasteful number, since it uses less digits than its factorization.

428640384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8669 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 428640384 is about 20703.6321451092. The cubic root of 428640384 is about 753.9878746699.

The spelling of 428640384 in words is "four hundred twenty-eight million, six hundred forty thousand, three hundred eighty-four".