10028224206 has 288 divisors, whose sum is σ = 30952696320. Its totient is φ = 2276968320.

The previous prime is 10028224189. The next prime is 10028224207. The reversal of 10028224206 is 60242282001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10028224206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10028224207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3764431 + ... + 3767093.

It is an arithmetic number, because the mean of its divisors is an integer number (107474640).

Almost surely, 2^10028224206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10028224206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15476348160).

10028224206 is an abundant number, since it is smaller than the sum of its proper divisors (20924472114).

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

10028224206 is a wasteful number, since it uses less digits than its factorization.

10028224206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 10028224206 in words is "ten billion, twenty-eight million, two hundred twenty-four thousand, two hundred six".