212028096 has 168 divisors, whose sum is σ = 674558976. Its totient is φ = 58544640.

The previous prime is 212028083. The next prime is 212028109. The reversal of 212028096 is 690820212.

It is an interprime number because it is at equal distance from previous prime (212028083) and next prime (212028109).

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 291285 + ... + 292011.

It is an arithmetic number, because the mean of its divisors is an integer number (4015232).

Almost surely, 2^212028096 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 212028096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337279488).

212028096 is an abundant number, since it is smaller than the sum of its proper divisors (462530880).

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

212028096 is a wasteful number, since it uses less digits than its factorization.

212028096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 212028096 is about 14561.1845671978. The cubic root of 212028096 is about 596.2995356355.

The spelling of 212028096 in words is "two hundred twelve million, twenty-eight thousand, ninety-six".