28166645760 has 768 divisors, whose sum is σ = 106991539200. Its totient is φ = 6252134400.

The previous prime is 28166645729. The next prime is 28166645761. The reversal of 28166645760 is 6754666182.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (28166645761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263239627 + ... + 263239733.

It is an arithmetic number, because the mean of its divisors is an integer number (139311900).

Almost surely, 2^28166645760 is an apocalyptic number.

28166645760 is a gapful number since it is divisible by the number (20) 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 28166645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53495769600).

28166645760 is an abundant number, since it is smaller than the sum of its proper divisors (78824893440).

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

28166645760 is a wasteful number, since it uses less digits than its factorization.

28166645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 28166645760 in words is "twenty-eight billion, one hundred sixty-six million, six hundred forty-five thousand, seven hundred sixty".