428335344 has 80 divisors (see below), whose sum is σ = 1241780640. Its totient is φ = 141350400.

The previous prime is 428335343. The next prime is 428335357. The reversal of 428335344 is 443533824.

428335344 is a `hidden beast` number, since 4 + 283 + 35 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 428335299 and 428335308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428335343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38724 + ... + 48540.

It is an arithmetic number, because the mean of its divisors is an integer number (15522258).

Almost surely, 2^428335344 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 428335344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620890320).

428335344 is an abundant number, since it is smaller than the sum of its proper divisors (813445296).

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

428335344 is a wasteful number, since it uses less digits than its factorization.

428335344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9935 (or 9923 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 428335344 is about 20696.2640106856. The cubic root of 428335344 is about 753.8089748663.

The spelling of 428335344 in words is "four hundred twenty-eight million, three hundred thirty-five thousand, three hundred forty-four".