893248272 has 120 divisors (see below), whose sum is σ = 3025092096. Its totient is φ = 240196608.

The previous prime is 893248253. The next prime is 893248327. The reversal of 893248272 is 272842398.

893248272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8928 + ... + 43199.

Almost surely, 2^893248272 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 893248272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512546048).

893248272 is an abundant number, since it is smaller than the sum of its proper divisors (2131843824).

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

893248272 is a wasteful number, since it uses less digits than its factorization.

893248272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52165 (or 52156 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 893248272 is about 29887.2593591316. The cubic root of 893248272 is about 963.0689805435.

The spelling of 893248272 in words is "eight hundred ninety-three million, two hundred forty-eight thousand, two hundred seventy-two".