213822528 has 56 divisors (see below), whose sum is σ = 567537600. Its totient is φ = 71047680.

The previous prime is 213822517. The next prime is 213822533. The reversal of 213822528 is 825228312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65413 + ... + 68603.

It is an arithmetic number, because the mean of its divisors is an integer number (10134600).

Almost surely, 2^213822528 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 213822528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283768800).

213822528 is an abundant number, since it is smaller than the sum of its proper divisors (353715072).

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

213822528 is a wasteful number, since it uses less digits than its factorization.

213822528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3545 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 213822528 is about 14622.6717121051. The cubic root of 213822528 is about 597.9770090675.

The spelling of 213822528 in words is "two hundred thirteen million, eight hundred twenty-two thousand, five hundred twenty-eight".