28943785817856 has 1152 divisors, whose sum is σ = 107359906304000. Its totient is φ = 7488131235840.

The previous prime is 28943785817809. The next prime is 28943785817927. The reversal of 28943785817856 is 65871858734982.

28943785817856 is a `hidden beast` number, since 2 + 8 + 9 + 437 + 8 + 5 + 8 + 178 + 5 + 6 = 666.

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

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18685464570 + ... + 18685466118.

Almost surely, 2^{28943785817856} is an apocalyptic number.

28943785817856 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 28943785817856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53679953152000).

28943785817856 is an abundant number, since it is smaller than the sum of its proper divisors (78416120486144).

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

28943785817856 is a wasteful number, since it uses less digits than its factorization.

28943785817856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2122 counting only the distinct ones).

The product of its digits is 6502809600, while the sum is 81.

The spelling of 28943785817856 in words is "twenty-eight trillion, nine hundred forty-three billion, seven hundred eighty-five million, eight hundred seventeen thousand, eight hundred fifty-six".