28868941936800 has 432 divisors, whose sum is σ = 118078295130432. Its totient is φ = 6500127744000.

The previous prime is 28868941936777. The next prime is 28868941936829. The reversal of 28868941936800 is 863914986882.

28868941936800 is a `hidden beast` number, since 28 + 8 + 6 + 89 + 419 + 36 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 897801 + ... + 7651400.

It is an arithmetic number, because the mean of its divisors is an integer number (273329386876).

Almost surely, 2^{28868941936800} is an apocalyptic number.

28868941936800 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 28868941936800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59039147565216).

28868941936800 is an abundant number, since it is smaller than the sum of its proper divisors (89209353193632).

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

28868941936800 is a wasteful number, since it uses less digits than its factorization.

28868941936800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8549301 (or 8549285 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 28868941936800 in words is "twenty-eight trillion, eight hundred sixty-eight billion, nine hundred forty-one million, nine hundred thirty-six thousand, eight hundred".