273520128 has 80 divisors (see below), whose sum is σ = 832803840. Its totient is φ = 78145536.

The previous prime is 273520111. The next prime is 273520129. The reversal of 273520128 is 821025372.

It is a super-2 number, since 2×273520128² = 149626520842272768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 273520095 and 273520104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273520129) 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, 1968 + ... + 23471.

It is an arithmetic number, because the mean of its divisors is an integer number (10410048).

Almost surely, 2^273520128 is an apocalyptic number.

273520128 is a gapful number since it is divisible by the number (28) 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 273520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416401920).

273520128 is an abundant number, since it is smaller than the sum of its proper divisors (559283712).

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

273520128 is an equidigital number, since it uses as much as digits as its factorization.

273520128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25467 (or 25451 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 273520128 is about 16538.4439413144. The cubic root of 273520128 is about 649.1271344942.

The spelling of 273520128 in words is "two hundred seventy-three million, five hundred twenty thousand, one hundred twenty-eight".