213395328 has 96 divisors (see below), whose sum is σ = 622954800. Its totient is φ = 70103040.

The previous prime is 213395321. The next prime is 213395359. The reversal of 213395328 is 823593312.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 213395292 and 213395301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213395321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80488 + ... + 83096.

Almost surely, 2^213395328 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 213395328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311477400).

213395328 is an abundant number, since it is smaller than the sum of its proper divisors (409559472).

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

213395328 is a wasteful number, since it uses less digits than its factorization.

213395328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2685 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 213395328 is about 14608.0569549821. The cubic root of 213395328 is about 597.5785071005.

It can be divided in two parts, 2133 and 95328, that added together give a triangular number (97461 = T₄₄₁).

The spelling of 213395328 in words is "two hundred thirteen million, three hundred ninety-five thousand, three hundred twenty-eight".