1006828912 has 80 divisors (see below), whose sum is σ = 2072438784. Its totient is φ = 473184000.

The previous prime is 1006828813. The next prime is 1006828937. The reversal of 1006828912 is 2198286001.

1006828912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1006828912⁴ (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3237237 + ... + 3237547.

Almost surely, 2^1006828912 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 1006828912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036219392).

1006828912 is an abundant number, since it is smaller than the sum of its proper divisors (1065609872).

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

1006828912 is a wasteful number, since it uses less digits than its factorization.

1006828912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 1006828912 is about 31730.5674705007. The cubic root of 1006828912 is about 1002.2711420091.

The spelling of 1006828912 in words is "one billion, six million, eight hundred twenty-eight thousand, nine hundred twelve".