213061728 has 96 divisors (see below), whose sum is σ = 617258880. Its totient is φ = 63810560.

The previous prime is 213061727. The next prime is 213061733. The reversal of 213061728 is 827160312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 213061695 and 213061704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213061727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92851 + ... + 95117.

It is an arithmetic number, because the mean of its divisors is an integer number (6429780).

Almost surely, 2^213061728 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 213061728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308629440).

213061728 is an abundant number, since it is smaller than the sum of its proper divisors (404197152).

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

213061728 is a wasteful number, since it uses less digits than its factorization.

213061728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 213061728 is about 14596.6341325663. The cubic root of 213061728 is about 597.2669473860.

The spelling of 213061728 in words is "two hundred thirteen million, sixty-one thousand, seven hundred twenty-eight".