428171351287680 has 9216 divisors, whose sum is σ = 2222425384058880. Its totient is φ = 75984215408640.

The previous prime is 428171351287633. The next prime is 428171351287697. The reversal of 428171351287680 is 86782153171824.

428171351287680 is a `hidden beast` number, since 4 + 2 + 81 + 71 + 351 + 2 + 87 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 4157003410509 + ... + 4157003410611.

It is an arithmetic number, because the mean of its divisors is an integer number (241148587680).

Almost surely, 2^{428171351287680} is an apocalyptic number.

428171351287680 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 428171351287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111212692029440).

428171351287680 is an abundant number, since it is smaller than the sum of its proper divisors (1794254032771200).

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

428171351287680 is a wasteful number, since it uses less digits than its factorization.

428171351287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 428171351287680 in words is "four hundred twenty-eight trillion, one hundred seventy-one billion, three hundred fifty-one million, two hundred eighty-seven thousand, six hundred eighty".