28248399986688 has 1620 divisors, whose sum is σ = 102341079876672. Its totient is φ = 7765469429760.

The previous prime is 28248399986663. The next prime is 28248399986699. The reversal of 28248399986688 is 88668999384282.

28248399986688 is a `hidden beast` number, since 2 + 82 + 4 + 8 + 399 + 9 + 8 + 66 + 88 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (41278242816) is a multiple of the sum of its prime divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 28248399986598 and 28248399986607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 163285548970 + ... + 163285549142.

Almost surely, 2^{28248399986688} is an apocalyptic number.

28248399986688 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 28248399986688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51170539938336).

28248399986688 is an abundant number, since it is smaller than the sum of its proper divisors (74092679889984).

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

28248399986688 is an frugal number, since it uses more digits than its factorization.

28248399986688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 216 counting only the distinct ones).

The product of its digits is 41278242816, while the sum is 90.

The spelling of 28248399986688 in words is "twenty-eight trillion, two hundred forty-eight billion, three hundred ninety-nine million, nine hundred eighty-six thousand, six hundred eighty-eight".