428806944 has 144 divisors (see below), whose sum is σ = 1264273920. Its totient is φ = 137779200.

The previous prime is 428806933. The next prime is 428806957. The reversal of 428806944 is 449608824.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 428806944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1069144 + ... + 1069544.

It is an arithmetic number, because the mean of its divisors is an integer number (8779680).

Almost surely, 2^428806944 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 428806944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632136960).

428806944 is an abundant number, since it is smaller than the sum of its proper divisors (835466976).

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

428806944 is a wasteful number, since it uses less digits than its factorization.

428806944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 428806944 is about 20707.6542370207. The cubic root of 428806944 is about 754.0855229256.

The spelling of 428806944 in words is "four hundred twenty-eight million, eight hundred six thousand, nine hundred forty-four".