428558848000 has 416 divisors, whose sum is σ = 1155076472160. Its totient is φ = 158125260800.

The previous prime is 428558847953. The next prime is 428558848009. The reversal of 428558848000 is 848855824.

It can be written as a sum of positive squares in 16 ways, for example, as 325830905856 + 102727942144 = 570816^2 + 320512^2 .

It is not an unprimeable number, because it can be changed into a prime (428558848009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 461311536 + ... + 461312464.

It is an arithmetic number, because the mean of its divisors is an integer number (2776626135).

Almost surely, 2^428558848000 is an apocalyptic number.

428558848000 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 428558848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577538236080).

428558848000 is an abundant number, since it is smaller than the sum of its proper divisors (726517624160).

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

428558848000 is an equidigital number, since it uses as much as digits as its factorization.

428558848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 3276800, while the sum is 52.

The spelling of 428558848000 in words is "four hundred twenty-eight billion, five hundred fifty-eight million, eight hundred forty-eight thousand".