28388530170560 has 448 divisors, whose sum is σ = 80787252289536. Its totient is φ = 9297314611200.

The previous prime is 28388530170503. The next prime is 28388530170563. The reversal of 28388530170560 is 6507103588382.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 28388530170496 and 28388530170505.

It is not an unprimeable number, because it can be changed into a prime (28388530170563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2087845682 + ... + 2087859278.

Almost surely, 2^{28388530170560} is an apocalyptic number.

28388530170560 is a gapful number since it is divisible by the number (20) 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 28388530170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40393626144768).

28388530170560 is an abundant number, since it is smaller than the sum of its proper divisors (52398722118976).

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

28388530170560 is a wasteful number, since it uses less digits than its factorization.

28388530170560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14040 (or 14030 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 56.

The spelling of 28388530170560 in words is "twenty-eight trillion, three hundred eighty-eight billion, five hundred thirty million, one hundred seventy thousand, five hundred sixty".