1029693852 has 72 divisors (see below), whose sum is σ = 2847761280. Its totient is φ = 311116320.

The previous prime is 1029693839. The next prime is 1029693881. The reversal of 1029693852 is 2583969201.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1029693798 and 1029693807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138543 + ... + 145785.

It is an arithmetic number, because the mean of its divisors is an integer number (39552240).

Almost surely, 2^1029693852 is an apocalyptic number.

1029693852 is a gapful number since it is divisible by the number (12) 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 1029693852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423880640).

1029693852 is an abundant number, since it is smaller than the sum of its proper divisors (1818067428).

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

1029693852 is a wasteful number, since it uses less digits than its factorization.

1029693852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7623 (or 7618 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1029693852 is about 32088.8431078467. The cubic root of 1029693852 is about 1009.8015660878.

The spelling of 1029693852 in words is "one billion, twenty-nine million, six hundred ninety-three thousand, eight hundred fifty-two".