270828672 has 64 divisors (see below), whose sum is σ = 726615360. Its totient is φ = 89369600.

The previous prime is 270828667. The next prime is 270828713. The reversal of 270828672 is 276828072.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35293 + ... + 42275.

It is an arithmetic number, because the mean of its divisors is an integer number (11353365).

Almost surely, 2^270828672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363307680).

270828672 is an abundant number, since it is smaller than the sum of its proper divisors (455786688).

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

270828672 is a wasteful number, since it uses less digits than its factorization.

270828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7101 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 270828672 is about 16456.8730930271. The cubic root of 270828672 is about 646.9909612084.

The spelling of 270828672 in words is "two hundred seventy million, eight hundred twenty-eight thousand, six hundred seventy-two".