428111908224 has 1152 divisors, whose sum is σ = 1641854995200. Its totient is φ = 95909806080.

The previous prime is 428111908223. The next prime is 428111908247. The reversal of 428111908224 is 422809111824.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428111908223) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 5864546652 + ... + 5864546724.

It is an arithmetic number, because the mean of its divisors is an integer number (1425221350).

Almost surely, 2^428111908224 is an apocalyptic number.

428111908224 is a gapful number since it is divisible by the number (44) 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 428111908224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820927497600).

428111908224 is an abundant number, since it is smaller than the sum of its proper divisors (1213743086976).

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

428111908224 is a wasteful number, since it uses less digits than its factorization.

428111908224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 428111908224 in words is "four hundred twenty-eight billion, one hundred eleven million, nine hundred eight thousand, two hundred twenty-four".