428930316324 has 360 divisors, whose sum is σ = 1213170161280. Its totient is φ = 132039186048.

The previous prime is 428930316319. The next prime is 428930316359. The reversal of 428930316324 is 423613039824.

428930316324 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 3 + 0 + 3 + 1 + 632 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 428930316324.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1515654687 + ... + 1515654969.

Almost surely, 2^428930316324 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 428930316324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606585080640).

428930316324 is an abundant number, since it is smaller than the sum of its proper divisors (784239844956).

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

428930316324 is a wasteful number, since it uses less digits than its factorization.

428930316324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 428930316324 in words is "four hundred twenty-eight billion, nine hundred thirty million, three hundred sixteen thousand, three hundred twenty-four".