275228064 has 96 divisors (see below), whose sum is σ = 805654080. Its totient is φ = 91411200.

The previous prime is 275228059. The next prime is 275228069. The reversal of 275228064 is 460822572.

It is an interprime number because it is at equal distance from previous prime (275228059) and next prime (275228069).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (275228069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397959 + ... + 398649.

It is an arithmetic number, because the mean of its divisors is an integer number (8392230).

Almost surely, 2^275228064 is an apocalyptic number.

275228064 is a gapful number since it is divisible by the number (24) 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 275228064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402827040).

275228064 is an abundant number, since it is smaller than the sum of its proper divisors (530426016).

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

275228064 is a wasteful number, since it uses less digits than its factorization.

275228064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 275228064 is about 16589.9989150090. The cubic root of 275228064 is about 650.4754422912.

Adding to 275228064 its sum of digits (36), we get a square (275228100 = 16590²).

The spelling of 275228064 in words is "two hundred seventy-five million, two hundred twenty-eight thousand, sixty-four".