275128000 has 224 divisors, whose sum is σ = 827349120. Its totient is φ = 88780800.

The previous prime is 275127997. The next prime is 275128013. The reversal of 275128000 is 821572.

275128000 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 13.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16183992 + ... + 16184008.

Almost surely, 2^275128000 is an apocalyptic number.

275128000 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 275128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413674560).

275128000 is an abundant number, since it is smaller than the sum of its proper divisors (552221120).

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

275128000 is an frugal number, since it uses more digits than its factorization.

275128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 275128000 is about 16586.9828480046. The cubic root of 275128000 is about 650.3966021426.

Adding to 275128000 its reverse (821572), we get a palindrome (275949572).

The spelling of 275128000 in words is "two hundred seventy-five million, one hundred twenty-eight thousand".