28766164364928 has 192 divisors, whose sum is σ = 87663168258120. Its totient is φ = 9023004672000.

The previous prime is 28766164364923. The next prime is 28766164364957. The reversal of 28766164364928 is 82946346166782.

28766164364928 is a `hidden beast` number, since 2 + 8 + 76 + 6 + 1 + 64 + 3 + 6 + 492 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28386816773184 + 379347591744 = 5327928^2 + 615912^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (28766164364923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107598076 + ... + 107865092.

Almost surely, 2^{28766164364928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28766164364928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43831584129060).

28766164364928 is an abundant number, since it is smaller than the sum of its proper divisors (58897003893192).

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

28766164364928 is a wasteful number, since it uses less digits than its factorization.

28766164364928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272555 (or 272540 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 72.

The spelling of 28766164364928 in words is "twenty-eight trillion, seven hundred sixty-six billion, one hundred sixty-four million, three hundred sixty-four thousand, nine hundred twenty-eight".