28029940683264 has 640 divisors, whose sum is σ = 97661209282560. Its totient is φ = 7855393996800.

The previous prime is 28029940683169. The next prime is 28029940683319. The reversal of 28029940683264 is 46238604992082.

28029940683264 is a `hidden beast` number, since 2 + 8 + 0 + 2 + 99 + 406 + 83 + 2 + 64 = 666.

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 63 ways as a sum of consecutive naturals, for example, 94560244 + ... + 94856204.

It is an arithmetic number, because the mean of its divisors is an integer number (152595639504).

Almost surely, 2^{28029940683264} is an apocalyptic number.

28029940683264 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 28029940683264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48830604641280).

28029940683264 is an abundant number, since it is smaller than the sum of its proper divisors (69631268599296).

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

28029940683264 is a wasteful number, since it uses less digits than its factorization.

28029940683264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296049 (or 296027 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 28029940683264 in words is "twenty-eight trillion, twenty-nine billion, nine hundred forty million, six hundred eighty-three thousand, two hundred sixty-four".