210729728 has 54 divisors (see below), whose sum is σ = 462420252. Its totient is φ = 95772160.

The previous prime is 210729721. The next prime is 210729731. The reversal of 210729728 is 827927012.

It is a junction number, because it is equal to n+sod(n) for n = 210729691 and 210729700.

It is not an unprimeable number, because it can be changed into a prime (210729721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27575 + ... + 34377.

It is an arithmetic number, because the mean of its divisors is an integer number (8563338).

Almost surely, 2^210729728 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 210729728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231210126).

210729728 is an abundant number, since it is smaller than the sum of its proper divisors (251690524).

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

210729728 is an equidigital number, since it uses as much as digits as its factorization.

210729728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6841 (or 6816 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 210729728 is about 14516.5329193992. The cubic root of 210729728 is about 595.0798828792.

The spelling of 210729728 in words is "two hundred ten million, seven hundred twenty-nine thousand, seven hundred twenty-eight".