1028213316 has 72 divisors (see below), whose sum is σ = 2844989784. Its totient is φ = 311178240.

The previous prime is 1028213311. The next prime is 1028213369. The reversal of 1028213316 is 6133128201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9326916 + 1018886400 = 3054^2 + 31920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1028213316.

It is not an unprimeable number, because it can be changed into a prime (1028213311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10540 + ... + 46556.

It is an arithmetic number, because the mean of its divisors is an integer number (39513747).

Almost surely, 2^1028213316 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 1028213316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422494892).

1028213316 is an abundant number, since it is smaller than the sum of its proper divisors (1816776468).

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

1028213316 is a wasteful number, since it uses less digits than its factorization.

1028213316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36101 (or 36096 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1028213316 is about 32065.7654828323. The cubic root of 1028213316 is about 1009.3173559224.

The spelling of 1028213316 in words is "one billion, twenty-eight million, two hundred thirteen thousand, three hundred sixteen".