28293219648 has 140 divisors (see below), whose sum is σ = 85916220852. Its totient is φ = 9200977920.

The previous prime is 28293219613. The next prime is 28293219671. The reversal of 28293219648 is 84691239282.

28293219648 is a `hidden beast` number, since 282 + 93 + 219 + 64 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3065615424 + 25227604224 = 55368^2 + 158832^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 28293219594 and 28293219603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 145986 + ... + 279102.

Almost surely, 2^28293219648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28293219648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42958110426).

28293219648 is an abundant number, since it is smaller than the sum of its proper divisors (57623001204).

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

28293219648 is a wasteful number, since it uses less digits than its factorization.

28293219648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133182 (or 133163 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 28293219648 in words is "twenty-eight billion, two hundred ninety-three million, two hundred nineteen thousand, six hundred forty-eight".