28648031486976 has 264 divisors, whose sum is σ = 90274821740064. Its totient is φ = 8677931581440.

The previous prime is 28648031486951. The next prime is 28648031487017. The reversal of 28648031486976 is 67968413084682.

28648031486976 is a `hidden beast` number, since 2 + 8 + 6 + 48 + 0 + 31 + 486 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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

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 23 ways as a sum of consecutive naturals, for example, 274372636 + ... + 274477028.

Almost surely, 2^{28648031486976} 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 28648031486976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45137410870032).

28648031486976 is an abundant number, since it is smaller than the sum of its proper divisors (61626790253088).

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

28648031486976 is a wasteful number, since it uses less digits than its factorization.

28648031486976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107137 (or 107116 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 28648031486976 in words is "twenty-eight trillion, six hundred forty-eight billion, thirty-one million, four hundred eighty-six thousand, nine hundred seventy-six".