28281384960 has 208 divisors, whose sum is σ = 95815827936. Its totient is φ = 7097810944.

The previous prime is 28281384953. The next prime is 28281384983. The reversal of 28281384960 is 6948318282.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1030942 + ... + 1058018.

Almost surely, 2^28281384960 is an apocalyptic number.

28281384960 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 28281384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47907913968).

28281384960 is an abundant number, since it is smaller than the sum of its proper divisors (67534442976).

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

28281384960 is a wasteful number, since it uses less digits than its factorization.

28281384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27126 (or 27104 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 28281384960 in words is "twenty-eight billion, two hundred eighty-one million, three hundred eighty-four thousand, nine hundred sixty".