28448088046080 has 640 divisors, whose sum is σ = 93526738905600. Its totient is φ = 7374766080000.

The previous prime is 28448088046039. The next prime is 28448088046087. The reversal of 28448088046080 is 8064088084482.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (28448088046087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10424362156 + ... + 10424364884.

It is an arithmetic number, because the mean of its divisors is an integer number (146135529540).

Almost surely, 2^{28448088046080} is an apocalyptic number.

28448088046080 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 28448088046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46763369452800).

28448088046080 is an abundant number, since it is smaller than the sum of its proper divisors (65078650859520).

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

28448088046080 is a wasteful number, since it uses less digits than its factorization.

28448088046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 25165824, while the sum is 60.

The spelling of 28448088046080 in words is "twenty-eight trillion, four hundred forty-eight billion, eighty-eight million, forty-six thousand, eighty".