428874516 has 144 divisors (see below), whose sum is σ = 1276539264. Its totient is φ = 118879488.

The previous prime is 428874503. The next prime is 428874541. The reversal of 428874516 is 615478824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2176930 + ... + 2177126.

It is an arithmetic number, because the mean of its divisors is an integer number (8864856).

Almost surely, 2^428874516 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 428874516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638269632).

428874516 is an abundant number, since it is smaller than the sum of its proper divisors (847664748).

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

428874516 is a wasteful number, since it uses less digits than its factorization.

428874516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 425 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 428874516 is about 20709.2857433568. The cubic root of 428874516 is about 754.1251307968.

The spelling of 428874516 in words is "four hundred twenty-eight million, eight hundred seventy-four thousand, five hundred sixteen".