28961650008000 has 224 divisors, whose sum is σ = 106257076710720. Its totient is φ = 7723106611200.

The previous prime is 28961650007987. The next prime is 28961650008059. The reversal of 28961650008000 is 80005616982.

28961650008000 is a `hidden beast` number, since 2 + 8 + 9 + 61 + 6 + 500 + 0 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 66824857 + ... + 67256856.

Almost surely, 2^{28961650008000} is an apocalyptic number.

28961650008000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28961650008000 is an abundant number, since it is smaller than the sum of its proper divisors (77295426702720).

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

28961650008000 is a wasteful number, since it uses less digits than its factorization.

28961650008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134081749 (or 134081723 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 28961650008000 in words is "twenty-eight trillion, nine hundred sixty-one billion, six hundred fifty million, eight thousand".