1020928506 has 128 divisors (see below), whose sum is σ = 2416780800. Its totient is φ = 284663808.

The previous prime is 1020928483. The next prime is 1020928511. The reversal of 1020928506 is 6058290201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5130195 + ... + 5130393.

It is an arithmetic number, because the mean of its divisors is an integer number (18881100).

Almost surely, 2^1020928506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020928506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208390400).

1020928506 is an abundant number, since it is smaller than the sum of its proper divisors (1395852294).

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

1020928506 is a wasteful number, since it uses less digits than its factorization.

1020928506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1020928506 is about 31951.9718640337. The cubic root of 1020928506 is about 1006.9280598096.

The spelling of 1020928506 in words is "one billion, twenty million, nine hundred twenty-eight thousand, five hundred six".