213928272 has 120 divisors (see below), whose sum is σ = 654600960. Its totient is φ = 64926720.

The previous prime is 213928261. The next prime is 213928291. The reversal of 213928272 is 272829312.

213928272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 74479 + ... + 77297.

It is an arithmetic number, because the mean of its divisors is an integer number (5455008).

Almost surely, 2^213928272 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 213928272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327300480).

213928272 is an abundant number, since it is smaller than the sum of its proper divisors (440672688).

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

213928272 is a wasteful number, since it uses less digits than its factorization.

213928272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2872 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 213928272 is about 14626.2870202933. The cubic root of 213928272 is about 598.0755675319.

It can be divided in two parts, 21 and 3928272, that added together give a palindrome (3928293).

The spelling of 213928272 in words is "two hundred thirteen million, nine hundred twenty-eight thousand, two hundred seventy-two".