213804288 has 108 divisors (see below), whose sum is σ = 625611168. Its totient is φ = 70210560.

The previous prime is 213804287. The next prime is 213804289. The reversal of 213804288 is 882408312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213804287) and next prime (213804289).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213804287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162931 + ... + 164237.

It is an arithmetic number, because the mean of its divisors is an integer number (5792696).

Almost surely, 2^213804288 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 213804288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312805584).

213804288 is an abundant number, since it is smaller than the sum of its proper divisors (411806880).

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

213804288 is a wasteful number, since it uses less digits than its factorization.

213804288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 213804288 is about 14622.0480097694. The cubic root of 213804288 is about 597.9600052296.

The spelling of 213804288 in words is "two hundred thirteen million, eight hundred four thousand, two hundred eighty-eight".