28947718365696 has 1280 divisors, whose sum is σ = 101453656550400. Its totient is φ = 8063781175296.

The previous prime is 28947718365677. The next prime is 28947718365779. The reversal of 28947718365696 is 69656381774982.

28947718365696 is a `hidden beast` number, since 2 + 8 + 9 + 4 + 7 + 7 + 18 + 36 + 569 + 6 = 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 127 ways as a sum of consecutive naturals, for example, 35173411941 + ... + 35173412763.

It is an arithmetic number, because the mean of its divisors is an integer number (79260669180).

Almost surely, 2^{28947718365696} is an apocalyptic number.

28947718365696 is a gapful number since it is divisible by the number (26) 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 28947718365696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50726828275200).

28947718365696 is an abundant number, since it is smaller than the sum of its proper divisors (72505938184704).

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

28947718365696 is a wasteful number, since it uses less digits than its factorization.

28947718365696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1284 counting only the distinct ones).

The product of its digits is 6584094720, while the sum is 81.

The spelling of 28947718365696 in words is "twenty-eight trillion, nine hundred forty-seven billion, seven hundred eighteen million, three hundred sixty-five thousand, six hundred ninety-six".