28827063336960 has 1440 divisors, whose sum is σ = 125510716800000. Its totient is φ = 6241805402112.

The previous prime is 28827063336931. The next prime is 28827063337027. The reversal of 28827063336960 is 6963336072882.

28827063336960 is a `hidden beast` number, since 28 + 8 + 270 + 6 + 3 + 336 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2059216041 + ... + 2059230039.

It is an arithmetic number, because the mean of its divisors is an integer number (87160220000).

Almost surely, 2^{28827063336960} is an apocalyptic number.

28827063336960 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 28827063336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62755358400000).

28827063336960 is an abundant number, since it is smaller than the sum of its proper divisors (96683653463040).

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

28827063336960 is a wasteful number, since it uses less digits than its factorization.

28827063336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14074 (or 14035 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 28827063336960 in words is "twenty-eight trillion, eight hundred twenty-seven billion, sixty-three million, three hundred thirty-six thousand, nine hundred sixty".