213332128 has 48 divisors (see below), whose sum is σ = 429488136. Its totient is φ = 104279040.

The previous prime is 213332101. The next prime is 213332137. The reversal of 213332128 is 821233312.

It can be written as a sum of positive squares in 4 ways, for example, as 181387024 + 31945104 = 13468^2 + 5652^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571750 + ... + 572122.

Almost surely, 2^213332128 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 213332128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214744068).

213332128 is an abundant number, since it is smaller than the sum of its proper divisors (216156008).

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

213332128 is a wasteful number, since it uses less digits than its factorization.

213332128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 729 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 213332128 is about 14605.8936049801. The cubic root of 213332128 is about 597.5195075416.

The spelling of 213332128 in words is "two hundred thirteen million, three hundred thirty-two thousand, one hundred twenty-eight".