213005852928 has 864 divisors, whose sum is σ = 732825999360. Its totient is φ = 61123092480.

The previous prime is 213005852923. The next prime is 213005852971. The reversal of 213005852928 is 829258500312.

213005852928 is a `hidden beast` number, since 2 + 1 + 300 + 58 + 5 + 292 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (213005852923) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1189976743 + ... + 1189976921.

It is an arithmetic number, because the mean of its divisors is an integer number (848178240).

Almost surely, 2^213005852928 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 213005852928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366412999680).

213005852928 is an abundant number, since it is smaller than the sum of its proper divisors (519820146432).

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

213005852928 is a wasteful number, since it uses less digits than its factorization.

213005852928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 213005852928 in words is "two hundred thirteen billion, five million, eight hundred fifty-two thousand, nine hundred twenty-eight".