428679477318312 has 384 divisors, whose sum is σ = 1327481451878400. Its totient is φ = 129592513448640.

The previous prime is 428679477318311. The next prime is 428679477318341. The reversal of 428679477318312 is 213813774976824.

428679477318312 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 79 + 477 + 3 + 1 + 83 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (428679477318311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1083949713 + ... + 1084345119.

It is an arithmetic number, because the mean of its divisors is an integer number (3456982947600).

Almost surely, 2^{428679477318312} 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 428679477318312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663740725939200).

428679477318312 is an abundant number, since it is smaller than the sum of its proper divisors (898801974560088).

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

428679477318312 is a wasteful number, since it uses less digits than its factorization.

428679477318312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395880 (or 395842 counting only the distinct ones).

The product of its digits is 682795008, while the sum is 72.

The spelling of 428679477318312 in words is "four hundred twenty-eight trillion, six hundred seventy-nine billion, four hundred seventy-seven million, three hundred eighteen thousand, three hundred twelve".