428780873664 has 504 divisors, whose sum is σ = 1485926944320. Its totient is φ = 117375160320.

The previous prime is 428780873579. The next prime is 428780873699. The reversal of 428780873664 is 466378087824.

428780873664 is a `hidden beast` number, since 42 + 87 + 80 + 87 + 366 + 4 = 666.

It is a congruent number.

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, 42579222 + ... + 42589290.

Almost surely, 2^428780873664 is an apocalyptic number.

428780873664 is a gapful number since it is divisible by the number (44) 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 428780873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742963472160).

428780873664 is an abundant number, since it is smaller than the sum of its proper divisors (1057146070656).

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

428780873664 is a wasteful number, since it uses less digits than its factorization.

428780873664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10169 (or 10145 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 428780873664 in words is "four hundred twenty-eight billion, seven hundred eighty million, eight hundred seventy-three thousand, six hundred sixty-four".