206972928 has 192 divisors, whose sum is σ = 648648000. Its totient is φ = 65028096.

The previous prime is 206972923. The next prime is 206973017. The reversal of 206972928 is 829279602.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (206972923) 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, 1050526 + ... + 1050722.

It is an arithmetic number, because the mean of its divisors is an integer number (3378375).

Almost surely, 2^206972928 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 206972928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324324000).

206972928 is an abundant number, since it is smaller than the sum of its proper divisors (441675072).

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

206972928 is a wasteful number, since it uses less digits than its factorization.

206972928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 206972928 is about 14386.5537221393. The cubic root of 206972928 is about 591.5223807748.

The spelling of 206972928 in words is "two hundred six million, nine hundred seventy-two thousand, nine hundred twenty-eight".