28481694766080 has 704 divisors, whose sum is σ = 94391033425920. Its totient is φ = 7325458366464.

The previous prime is 28481694766079. The next prime is 28481694766153. The reversal of 28481694766080 is 8066749618482.

It is a super-2 number, since 2×28481694766080² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28481694765996 and 28481694766014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26793691629 + ... + 26793692691.

It is an arithmetic number, because the mean of its divisors is an integer number (134078172480).

Almost surely, 2^{28481694766080} is an apocalyptic number.

28481694766080 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 28481694766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47195516712960).

28481694766080 is an abundant number, since it is smaller than the sum of its proper divisors (65909338659840).

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

28481694766080 is a wasteful number, since it uses less digits than its factorization.

28481694766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 69.

The spelling of 28481694766080 in words is "twenty-eight trillion, four hundred eighty-one billion, six hundred ninety-four million, seven hundred sixty-six thousand, eighty".