1028408706 has 192 divisors, whose sum is σ = 2688940800. Its totient is φ = 281014272.

The previous prime is 1028408653. The next prime is 1028408723. The reversal of 1028408706 is 6078048201.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9100906 + ... + 9101018.

It is an arithmetic number, because the mean of its divisors is an integer number (14004900).

Almost surely, 2^1028408706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028408706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344470400).

1028408706 is an abundant number, since it is smaller than the sum of its proper divisors (1660532094).

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

1028408706 is a wasteful number, since it uses less digits than its factorization.

1028408706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1028408706 is about 32068.8120453502. The cubic root of 1028408706 is about 1009.3812849484.

The spelling of 1028408706 in words is "one billion, twenty-eight million, four hundred eight thousand, seven hundred six".