428517376 has 96 divisors (see below), whose sum is σ = 995379840. Its totient is φ = 180633600.

The previous prime is 428517329. The next prime is 428517379. The reversal of 428517376 is 673715824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428517379) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1017646 + ... + 1018066.

It is an arithmetic number, because the mean of its divisors is an integer number (10368540).

Almost surely, 2^428517376 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 428517376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497689920).

428517376 is an abundant number, since it is smaller than the sum of its proper divisors (566862464).

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

428517376 is an equidigital number, since it uses as much as digits as its factorization.

428517376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 501 counting only the distinct ones).

The product of its digits is 282240, while the sum is 43.

The square root of 428517376 is about 20700.6612454772. The cubic root of 428517376 is about 753.9157431759.

The spelling of 428517376 in words is "four hundred twenty-eight million, five hundred seventeen thousand, three hundred seventy-six".