28282772197440 has 672 divisors, whose sum is σ = 107282366730240. Its totient is φ = 6811402752000.

The previous prime is 28282772197439. The next prime is 28282772197441. The reversal of 28282772197440 is 4479127728282.

28282772197440 is a `hidden beast` number, since 2 + 8 + 2 + 82 + 7 + 7 + 21 + 97 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (28282772197439) and next prime (28282772197441).

It is not an unprimeable number, because it can be changed into a prime (28282772197441) 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 95 ways as a sum of consecutive naturals, for example, 113529015 + ... + 113777865.

Almost surely, 2^{28282772197440} is an apocalyptic number.

28282772197440 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 28282772197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53641183365120).

28282772197440 is an abundant number, since it is smaller than the sum of its proper divisors (78999594532800).

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

28282772197440 is a wasteful number, since it uses less digits than its factorization.

28282772197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248991 (or 248978 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 28282772197440 in words is "twenty-eight trillion, two hundred eighty-two billion, seven hundred seventy-two million, one hundred ninety-seven thousand, four hundred forty".