212153328 has 120 divisors (see below), whose sum is σ = 621522720. Its totient is φ = 67468800.

The previous prime is 212153327. The next prime is 212153341. The reversal of 212153328 is 823351212.

212153328 is a `hidden beast` number, since 2 + 121 + 533 + 2 + 8 = 666.

212153328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212153327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421525 + ... + 422027.

It is an arithmetic number, because the mean of its divisors is an integer number (5179356).

Almost surely, 2^212153328 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 212153328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310761360).

212153328 is an abundant number, since it is smaller than the sum of its proper divisors (409369392).

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

212153328 is a wasteful number, since it uses less digits than its factorization.

212153328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 638 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 212153328 is about 14565.4841320157. The cubic root of 212153328 is about 596.4169117247.

The spelling of 212153328 in words is "two hundred twelve million, one hundred fifty-three thousand, three hundred twenty-eight".