428707676160 has 480 divisors, whose sum is σ = 1543519177200. Its totient is φ = 114152177664.

The previous prime is 428707676143. The next prime is 428707676161. The reversal of 428707676160 is 61676707824.

428707676160 is a `hidden beast` number, since 428 + 70 + 76 + 76 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 428707676097 and 428707676106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428707676161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637009584 + ... + 637010256.

Almost surely, 2^428707676160 is an apocalyptic number.

428707676160 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 428707676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771759588600).

428707676160 is an abundant number, since it is smaller than the sum of its proper divisors (1114811501040).

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

428707676160 is an frugal number, since it uses more digits than its factorization.

428707676160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 428707676160 in words is "four hundred twenty-eight billion, seven hundred seven million, six hundred seventy-six thousand, one hundred sixty".