275628160 has 64 divisors (see below), whose sum is σ = 661786200. Its totient is φ = 109772800.

The previous prime is 275628149. The next prime is 275628169. The reversal of 275628160 is 61826572.

It is a happy number.

275628160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 241615936 + 34012224 = 15544^2 + 5832^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275628169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171360 + ... + 172960.

Almost surely, 2^275628160 is an apocalyptic number.

275628160 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 275628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330893100).

275628160 is an abundant number, since it is smaller than the sum of its proper divisors (386158040).

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

275628160 is a wasteful number, since it uses less digits than its factorization.

275628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 275628160 is about 16602.0528851103. The cubic root of 275628160 is about 650.7904860065.

The spelling of 275628160 in words is "two hundred seventy-five million, six hundred twenty-eight thousand, one hundred sixty".