212329728 has 288 divisors, whose sum is σ = 721123200. Its totient is φ = 61046784.

The previous prime is 212329723. The next prime is 212329739. The reversal of 212329728 is 827923212.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 212329692 and 212329701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212329723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1527483 + ... + 1527621.

It is an arithmetic number, because the mean of its divisors is an integer number (2503900).

Almost surely, 2^212329728 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 212329728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360561600).

212329728 is an abundant number, since it is smaller than the sum of its proper divisors (508793472).

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

212329728 is a wasteful number, since it uses less digits than its factorization.

212329728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 212329728 is about 14571.5382853012. The cubic root of 212329728 is about 596.5821676718.

The spelling of 212329728 in words is "two hundred twelve million, three hundred twenty-nine thousand, seven hundred twenty-eight".