428758766982 has 144 divisors (see below), whose sum is σ = 1192159829952. Its totient is φ = 110321084160.

The previous prime is 428758766959. The next prime is 428758766987. The reversal of 428758766982 is 289667857824.

428758766982 is a `hidden beast` number, since 428 + 7 + 58 + 7 + 66 + 98 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 428758766982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428758766987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14083 + ... + 926129.

It is an arithmetic number, because the mean of its divisors is an integer number (8278887708).

Almost surely, 2^428758766982 is an apocalyptic number.

428758766982 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 428758766982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596079914976).

428758766982 is an abundant number, since it is smaller than the sum of its proper divisors (763401062970).

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

428758766982 is a wasteful number, since it uses less digits than its factorization.

428758766982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912123 (or 912113 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 428758766982 in words is "four hundred twenty-eight billion, seven hundred fifty-eight million, seven hundred sixty-six thousand, nine hundred eighty-two".