210128772 has 192 divisors, whose sum is σ = 630637056. Its totient is φ = 53084160.

The previous prime is 210128767. The next prime is 210128773. The reversal of 210128772 is 277821012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (210128773) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2166228 + ... + 2166324.

It is an arithmetic number, because the mean of its divisors is an integer number (3284568).

Almost surely, 2^210128772 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 210128772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315318528).

210128772 is an abundant number, since it is smaller than the sum of its proper divisors (420508284).

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

210128772 is a wasteful number, since it uses less digits than its factorization.

210128772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 210128772 is about 14495.8191213881. The cubic root of 210128772 is about 594.5136642162.

Adding to 210128772 its reverse (277821012), we get a palindrome (487949784).

The spelling of 210128772 in words is "two hundred ten million, one hundred twenty-eight thousand, seven hundred seventy-two".