28166370776460 has 288 divisors, whose sum is σ = 98758662912000. Its totient is φ = 6364521630720.

The previous prime is 28166370776407. The next prime is 28166370776507. The reversal of 28166370776460 is 6467707366182.

28166370776460 is a `hidden beast` number, since 2 + 8 + 166 + 3 + 7 + 0 + 7 + 7 + 6 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 707695641 + ... + 707735439.

It is an arithmetic number, because the mean of its divisors is an integer number (342912024000).

Almost surely, 2^{28166370776460} is an apocalyptic number.

28166370776460 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 28166370776460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49379331456000).

28166370776460 is an abundant number, since it is smaller than the sum of its proper divisors (70592292135540).

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

28166370776460 is a wasteful number, since it uses less digits than its factorization.

28166370776460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46221 (or 46216 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 28166370776460 in words is "twenty-eight trillion, one hundred sixty-six billion, three hundred seventy million, seven hundred seventy-six thousand, four hundred sixty".