98428506079680 has 672 divisors, whose sum is σ = 393514190229888. Its totient is φ = 22114861056000.

The previous prime is 98428506079669. The next prime is 98428506079693. The reversal of 98428506079680 is 8697060582489.

98428506079680 is a `hidden beast` number, since 9 + 8 + 4 + 2 + 8 + 5 + 0 + 607 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 98428506079599 and 98428506079608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1968820764 + ... + 1968870756.

It is an arithmetic number, because the mean of its divisors is an integer number (585586592604).

Almost surely, 2^{98428506079680} is an apocalyptic number.

98428506079680 is a gapful number since it is divisible by the number (90) 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 98428506079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196757095114944).

98428506079680 is an abundant number, since it is smaller than the sum of its proper divisors (295085684150208).

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

98428506079680 is a wasteful number, since it uses less digits than its factorization.

98428506079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51685 (or 51672 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 98428506079680 in words is "ninety-eight trillion, four hundred twenty-eight billion, five hundred six million, seventy-nine thousand, six hundred eighty".