28640702042784 has 288 divisors, whose sum is σ = 88015117763664. Its totient is φ = 8782137262080.

The previous prime is 28640702042767. The next prime is 28640702042791. The reversal of 28640702042784 is 48724020704682.

28640702042784 is a `hidden beast` number, since 2 + 8 + 6 + 407 + 0 + 204 + 27 + 8 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6153872490000 + 22486829552784 = 2480700^2 + 4742028^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 28640702042784.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312759044 + ... + 1312780860.

Almost surely, 2^{28640702042784} is an apocalyptic number.

28640702042784 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 28640702042784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44007558881832).

28640702042784 is an abundant number, since it is smaller than the sum of its proper divisors (59374415720880).

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

28640702042784 is a wasteful number, since it uses less digits than its factorization.

28640702042784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23040 (or 23029 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 28640702042784 in words is "twenty-eight trillion, six hundred forty billion, seven hundred two million, forty-two thousand, seven hundred eighty-four".