428463312768 has 640 divisors, whose sum is σ = 1399582800000. Its totient is φ = 129598672896.

The previous prime is 428463312737. The next prime is 428463312779. The reversal of 428463312768 is 867213364824.

428463312768 is a `hidden beast` number, since 4 + 284 + 6 + 331 + 27 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (9289728) is a multiple of the sum of its prime factors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1022585263 + ... + 1022585681.

It is an arithmetic number, because the mean of its divisors is an integer number (2186848125).

Almost surely, 2^428463312768 is an apocalyptic number.

428463312768 is a gapful number since it is divisible by the number (48) 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 428463312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699791400000).

428463312768 is an abundant number, since it is smaller than the sum of its proper divisors (971119487232).

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

428463312768 is a wasteful number, since it uses less digits than its factorization.

428463312768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 651 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 428463312768 in words is "four hundred twenty-eight billion, four hundred sixty-three million, three hundred twelve thousand, seven hundred sixty-eight".