428780098768896 has 832 divisors, whose sum is σ = 1515537958563840. Its totient is φ = 117132587827200.

The previous prime is 428780098768867. The next prime is 428780098768907. The reversal of 428780098768896 is 698867890087824.

428780098768896 is a `hidden beast` number, since 4 + 287 + 80 + 0 + 98 + 7 + 6 + 88 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66467226471 + ... + 66467232921.

Almost surely, 2^{428780098768896} is an apocalyptic number.

428780098768896 is a gapful number since it is divisible by the number (46) 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 428780098768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757768979281920).

428780098768896 is an abundant number, since it is smaller than the sum of its proper divisors (1086757859794944).

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

428780098768896 is a wasteful number, since it uses less digits than its factorization.

428780098768896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10247 (or 10219 counting only the distinct ones).

The product of its (nonzero) digits is 37456183296, while the sum is 90.

The spelling of 428780098768896 in words is "four hundred twenty-eight trillion, seven hundred eighty billion, ninety-eight million, seven hundred sixty-eight thousand, eight hundred ninety-six".