28338738972480 has 2016 divisors, whose sum is σ = 113697625466880. Its totient is φ = 6459548958720.

The previous prime is 28338738972473. The next prime is 28338738972521. The reversal of 28338738972480 is 8427983783382.

28338738972480 is a `hidden beast` number, since 2 + 8 + 3 + 3 + 8 + 73 + 8 + 9 + 72 + 480 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28338738972399 and 28338738972408.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 534693188134 + ... + 534693188186.

It is an arithmetic number, because the mean of its divisors is an integer number (56397631680).

Almost surely, 2^{28338738972480} is an apocalyptic number.

28338738972480 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 28338738972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56848812733440).

28338738972480 is an abundant number, since it is smaller than the sum of its proper divisors (85358886494400).

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

28338738972480 is a wasteful number, since it uses less digits than its factorization.

28338738972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 28338738972480 in words is "twenty-eight trillion, three hundred thirty-eight billion, seven hundred thirty-eight million, nine hundred seventy-two thousand, four hundred eighty".