26828160 has 128 divisors (see below), whose sum is σ = 87026400. Its totient is φ = 7028736.

The previous prime is 26828149. The next prime is 26828167. The reversal of 26828160 is 6182862.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26828167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170802 + ... + 170958.

Almost surely, 2^26828160 is an apocalyptic number.

26828160 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 26828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43513200).

26828160 is an abundant number, since it is smaller than the sum of its proper divisors (60198240).

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

26828160 is a wasteful number, since it uses less digits than its factorization.

26828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 26828160 is about 5179.5907174216. The cubic root of 26828160 is about 299.3622005560.

The spelling of 26828160 in words is "twenty-six million, eight hundred twenty-eight thousand, one hundred sixty".