28831907764800 has 2016 divisors, whose sum is σ = 131472508078080. Its totient is φ = 5839788441600.

The previous prime is 28831907764747. The next prime is 28831907764801. The reversal of 28831907764800 is 846770913882.

28831907764800 is a `hidden beast` number, since 2 + 8 + 83 + 1 + 9 + 0 + 7 + 76 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (28831907764801) 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 287 ways as a sum of consecutive naturals, for example, 1965491866 + ... + 1965506534.

Almost surely, 2^{28831907764800} is an apocalyptic number.

28831907764800 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 28831907764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65736254039040).

28831907764800 is an abundant number, since it is smaller than the sum of its proper divisors (102640600313280).

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

28831907764800 is a wasteful number, since it uses less digits than its factorization.

28831907764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14789 (or 14771 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 28831907764800 in words is "twenty-eight trillion, eight hundred thirty-one billion, nine hundred seven million, seven hundred sixty-four thousand, eight hundred".