28268166723264 has 336 divisors, whose sum is σ = 88975299722400. Its totient is φ = 8527011397632.

The previous prime is 28268166723227. The next prime is 28268166723281. The reversal of 28268166723264 is 46232766186282.

28268166723264 is a `hidden beast` number, since 2 + 82 + 6 + 8 + 166 + 72 + 326 + 4 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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, 511530067 + ... + 511585325.

It is an arithmetic number, because the mean of its divisors is an integer number (264807439650).

Almost surely, 2^{28268166723264} is an apocalyptic number.

28268166723264 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 28268166723264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44487649861200).

28268166723264 is an abundant number, since it is smaller than the sum of its proper divisors (60707132999136).

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

28268166723264 is a wasteful number, since it uses less digits than its factorization.

28268166723264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56632 (or 56619 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 28268166723264 in words is "twenty-eight trillion, two hundred sixty-eight billion, one hundred sixty-six million, seven hundred twenty-three thousand, two hundred sixty-four".