28368288960 has 448 divisors, whose sum is σ = 109526100480. Its totient is φ = 6131220480.

The previous prime is 28368288959. The next prime is 28368288961. The reversal of 28368288960 is 6988286382.

It is an interprime number because it is at equal distance from previous prime (28368288959) and next prime (28368288961).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 28368288894 and 28368288903.

It is not an unprimeable number, because it can be changed into a prime (28368288961) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3406722 + ... + 3415038.

Almost surely, 2^28368288960 is an apocalyptic number.

28368288960 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 28368288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54763050240).

28368288960 is an abundant number, since it is smaller than the sum of its proper divisors (81157811520).

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

28368288960 is a wasteful number, since it uses less digits than its factorization.

28368288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8384 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 28368288960 in words is "twenty-eight billion, three hundred sixty-eight million, two hundred eighty-eight thousand, nine hundred sixty".