206241728 has 56 divisors (see below), whose sum is σ = 510259584. Its totient is φ = 80352000.

The previous prime is 206241727. The next prime is 206241731. The reversal of 206241728 is 827142602.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 206241694 and 206241703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206241727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15998 + ... + 25853.

Almost surely, 2^206241728 is an apocalyptic number.

206241728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

206241728 is an abundant number, since it is smaller than the sum of its proper divisors (304017856).

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

206241728 is a wasteful number, since it uses less digits than its factorization.

206241728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41881 (or 41871 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 206241728 is about 14361.1186193834. The cubic root of 206241728 is about 590.8249763491.

The spelling of 206241728 in words is "two hundred six million, two hundred forty-one thousand, seven hundred twenty-eight".