428118503680 has 432 divisors, whose sum is σ = 1220839796736. Its totient is φ = 143386951680.

The previous prime is 428118503639. The next prime is 428118503699. The reversal of 428118503680 is 86305811824.

It is a self number, because there is not a number n which added to its sum of digits gives 428118503680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565545862 + ... + 565546618.

It is an arithmetic number, because the mean of its divisors is an integer number (2826018048).

Almost surely, 2^428118503680 is an apocalyptic number.

428118503680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428118503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610419898368).

428118503680 is an abundant number, since it is smaller than the sum of its proper divisors (792721293056).

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

428118503680 is a wasteful number, since it uses less digits than its factorization.

428118503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 428118503680 in words is "four hundred twenty-eight billion, one hundred eighteen million, five hundred three thousand, six hundred eighty".