28287821700864 has 1152 divisors, whose sum is σ = 96127782912000. Its totient is φ = 8126576640000.

The previous prime is 28287821700847. The next prime is 28287821700911. The reversal of 28287821700864 is 46800712878282.

28287821700864 is a `hidden beast` number, since 282 + 87 + 8 + 217 + 0 + 0 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43721516989 + ... + 43721517635.

It is an arithmetic number, because the mean of its divisors is an integer number (83444256000).

Almost surely, 2^{28287821700864} is an apocalyptic number.

28287821700864 is a gapful number since it is divisible by the number (24) 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 28287821700864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48063891456000).

28287821700864 is an abundant number, since it is smaller than the sum of its proper divisors (67839961211136).

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

28287821700864 is a wasteful number, since it uses less digits than its factorization.

28287821700864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 63.

The spelling of 28287821700864 in words is "twenty-eight trillion, two hundred eighty-seven billion, eight hundred twenty-one million, seven hundred thousand, eight hundred sixty-four".