210472128 has 84 divisors (see below), whose sum is σ = 620527080. Its totient is φ = 69956352.

The previous prime is 210472127. The next prime is 210472153. The reversal of 210472128 is 821274012.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (210472123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 602898 + ... + 603246.

Almost surely, 2^210472128 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 210472128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310263540).

210472128 is an abundant number, since it is smaller than the sum of its proper divisors (410054952).

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

210472128 is an frugal number, since it uses more digits than its factorization.

210472128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 210472128 is about 14507.6575641969. The cubic root of 210472128 is about 594.8373050453.

Multiplying 210472128 by its sum of digits (27), we get a square (5682747456 = 75384²).

210472128 divided by its sum of digits (27) gives a square (7795264 = 2792²).

The spelling of 210472128 in words is "two hundred ten million, four hundred seventy-two thousand, one hundred twenty-eight".