28346316098688 has 288 divisors, whose sum is σ = 94895487355500. Its totient is φ = 8098218196992.

The previous prime is 28346316098671. The next prime is 28346316098741. The reversal of 28346316098688 is 88689061364382.

28346316098688 is a `hidden beast` number, since 2 + 8 + 3 + 4 + 6 + 3 + 1 + 609 + 8 + 6 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15310692500544 + 13035623598144 = 3912888^2 + 3610488^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1106876028 + ... + 1106901636.

Almost surely, 2^{28346316098688} is an apocalyptic number.

28346316098688 is a gapful number since it is divisible by the number (28) 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 28346316098688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47447743677750).

28346316098688 is an abundant number, since it is smaller than the sum of its proper divisors (66549171256812).

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

28346316098688 is a wasteful number, since it uses less digits than its factorization.

28346316098688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45252 (or 45230 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 28346316098688 in words is "twenty-eight trillion, three hundred forty-six billion, three hundred sixteen million, ninety-eight thousand, six hundred eighty-eight".