212288128 has 64 divisors (see below), whose sum is σ = 459887400. Its totient is φ = 97026048.

The previous prime is 212288117. The next prime is 212288173. The reversal of 212288128 is 821882212.

It can be written as a sum of positive squares in 4 ways, for example, as 34012224 + 178275904 = 5832^2 + 13352^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 212288093 and 212288102.

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, 187468 + ... + 188596.

Almost surely, 2^212288128 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 212288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229943700).

212288128 is an abundant number, since it is smaller than the sum of its proper divisors (247599272).

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

212288128 is a wasteful number, since it uses less digits than its factorization.

212288128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1257 counting only the distinct ones).

The product of its digits is 8192, while the sum is 34.

The square root of 212288128 is about 14570.1107751451. The cubic root of 212288128 is about 596.5432039975.

The spelling of 212288128 in words is "two hundred twelve million, two hundred eighty-eight thousand, one hundred twenty-eight".