428746180968 has 288 divisors, whose sum is σ = 1450594891200. Its totient is φ = 116049708288.

The previous prime is 428746180927. The next prime is 428746180981. The reversal of 428746180968 is 869081647824.

428746180968 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 4 + 618 + 0 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6950196 + ... + 7011612.

Almost surely, 2^428746180968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428746180968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725297445600).

428746180968 is an abundant number, since it is smaller than the sum of its proper divisors (1021848710232).

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

428746180968 is an equidigital number, since it uses as much as digits as its factorization.

428746180968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61473 (or 61448 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 428746180968 in words is "four hundred twenty-eight billion, seven hundred forty-six million, one hundred eighty thousand, nine hundred sixty-eight".