169828928640 has 768 divisors, whose sum is σ = 704891416320. Its totient is φ = 38268370944.

The previous prime is 169828928627. The next prime is 169828928663. The reversal of 169828928640 is 46829828961.

169828928640 is a `hidden beast` number, since 169 + 82 + 89 + 286 + 40 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79469652 + ... + 79471788.

It is an arithmetic number, because the mean of its divisors is an integer number (917827365).

Almost surely, 2^169828928640 is an apocalyptic number.

169828928640 is a gapful number since it is divisible by the number (10) 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 169828928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352445708160).

169828928640 is an abundant number, since it is smaller than the sum of its proper divisors (535062487680).

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

169828928640 is an equidigital number, since it uses as much as digits as its factorization.

169828928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 169828928640 in words is "one hundred sixty-nine billion, eight hundred twenty-eight million, nine hundred twenty-eight thousand, six hundred forty".