428783984640 has 1120 divisors, whose sum is σ = 1735580943360. Its totient is φ = 100329062400.

The previous prime is 428783984599. The next prime is 428783984693. The reversal of 428783984640 is 46489387824.

428783984640 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 83 + 98 + 464 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1131355971 + ... + 1131356349.

Almost surely, 2^428783984640 is an apocalyptic number.

428783984640 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 428783984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867790471680).

428783984640 is an abundant number, since it is smaller than the sum of its proper divisors (1306796958720).

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

428783984640 is a wasteful number, since it uses less digits than its factorization.

428783984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 428783984640 in words is "four hundred twenty-eight billion, seven hundred eighty-three million, nine hundred eighty-four thousand, six hundred forty".