28279848960 has 540 divisors, whose sum is σ = 108096104844. Its totient is φ = 6834094080.

The previous prime is 28279848937. The next prime is 28279848979. The reversal of 28279848960 is 6984897282.

28279848960 is a `hidden beast` number, since 2 + 8 + 2 + 7 + 98 + 489 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5156388864 + 23123460096 = 71808^2 + 152064^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89210722 + ... + 89211038.

Almost surely, 2^28279848960 is an apocalyptic number.

28279848960 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 28279848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54048052422).

28279848960 is an abundant number, since it is smaller than the sum of its proper divisors (79816255884).

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

28279848960 is a wasteful number, since it uses less digits than its factorization.

28279848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 28279848960 in words is "twenty-eight billion, two hundred seventy-nine million, eight hundred forty-eight thousand, nine hundred sixty".