213622128 has 60 divisors (see below), whose sum is σ = 602604288. Its totient is φ = 70640640.

The previous prime is 213622121. The next prime is 213622217. The reversal of 213622128 is 821226312.

213622128 is a `hidden beast` number, since 2 + 13 + 622 + 1 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213622121) 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, 12448 + ... + 24128.

Almost surely, 2^213622128 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 213622128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301302144).

213622128 is an abundant number, since it is smaller than the sum of its proper divisors (388982160).

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

213622128 is a wasteful number, since it uses less digits than its factorization.

213622128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11822 (or 11813 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 213622128 is about 14615.8177328537. The cubic root of 213622128 is about 597.7901375054.

The spelling of 213622128 in words is "two hundred thirteen million, six hundred twenty-two thousand, one hundred twenty-eight".