1028746656 has 360 divisors, whose sum is σ = 3633426720. Its totient is φ = 279624960.

The previous prime is 1028746633. The next prime is 1028746679. The reversal of 1028746656 is 6566478201.

1028746656 is a `hidden beast` number, since 102 + 87 + 466 + 5 + 6 = 666.

1028746656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1028746633) and next prime (1028746679).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17436355 + ... + 17436413.

It is an arithmetic number, because the mean of its divisors is an integer number (10092852).

Almost surely, 2^1028746656 is an apocalyptic number.

1028746656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028746656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816713360).

1028746656 is an abundant number, since it is smaller than the sum of its proper divisors (2604680064).

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

1028746656 is an equidigital number, since it uses as much as digits as its factorization.

1028746656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1028746656 is about 32074.0807506622. The cubic root of 1028746656 is about 1009.4918386107.

The spelling of 1028746656 in words is "one billion, twenty-eight million, seven hundred forty-six thousand, six hundred fifty-six".