428375064960 has 384 divisors, whose sum is σ = 1503271560960. Its totient is φ = 112391884800.

The previous prime is 428375064919. The next prime is 428375064979. The reversal of 428375064960 is 69460573824.

428375064960 is a `hidden beast` number, since 4 + 2 + 8 + 37 + 506 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 428375064897 and 428375064906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93062019 + ... + 93066621.

It is an arithmetic number, because the mean of its divisors is an integer number (3914769690).

Almost surely, 2^428375064960 is an apocalyptic number.

428375064960 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 428375064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751635780480).

428375064960 is an abundant number, since it is smaller than the sum of its proper divisors (1074896496000).

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

428375064960 is a wasteful number, since it uses less digits than its factorization.

428375064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4886 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 428375064960 in words is "four hundred twenty-eight billion, three hundred seventy-five million, sixty-four thousand, nine hundred sixty".