270828072 has 24 divisors (see below), whose sum is σ = 733492890. Its totient is φ = 90276000.

The previous prime is 270828067. The next prime is 270828079.

270828072 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 258759396 + 12068676 = 16086^2 + 3474^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (270828079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1880679 + ... + 1880822.

Almost surely, 2^270828072 is an apocalyptic number.

It is an amenable number.

270828072 is an abundant number, since it is smaller than the sum of its proper divisors (462664818).

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

270828072 is a wasteful number, since it uses less digits than its factorization.

270828072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761513 (or 3761506 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 270828072 is about 16456.8548635515. The cubic root of 270828072 is about 646.9904834219.

The spelling of 270828072 in words is "two hundred seventy million, eight hundred twenty-eight thousand, seventy-two".