1029383056 has 45 divisors (see below), whose sum is σ = 2163154611. Its totient is φ = 474329856.

The previous prime is 1029383041. The next prime is 1029383077. The reversal of 1029383056 is 6503839201.

The square root of 1029383056 is 32084.

It is a perfect power (a square), and thus also a powerful number.

1029383056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 733543056 + 295840000 = 27084^2 + 17200^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1668060 + ... + 1668676.

Almost surely, 2^1029383056 is an apocalyptic number.

1029383056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1029383056 is the 32084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029383056

1029383056 is an abundant number, since it is smaller than the sum of its proper divisors (1133771555).

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

1029383056 is an frugal number, since it uses more digits than its factorization.

1029383056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The cubic root of 1029383056 is about 1009.6999585831.

The spelling of 1029383056 in words is "one billion, twenty-nine million, three hundred eighty-three thousand, fifty-six".