1006928224 has 72 divisors (see below), whose sum is σ = 2194857000. Its totient is φ = 453116928.

The previous prime is 1006928203. The next prime is 1006928261. The reversal of 1006928224 is 4228296001.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 1006928224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286027 + ... + 289525.

It is an arithmetic number, because the mean of its divisors is an integer number (30484125).

Almost surely, 2^1006928224 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 1006928224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097428500).

1006928224 is an abundant number, since it is smaller than the sum of its proper divisors (1187928776).

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

1006928224 is a wasteful number, since it uses less digits than its factorization.

1006928224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 1006928224 is about 31732.1323582264. The cubic root of 1006928224 is about 1002.3040950685.

The spelling of 1006928224 in words is "one billion, six million, nine hundred twenty-eight thousand, two hundred twenty-four".