1029138432 has 96 divisors (see below), whose sum is σ = 3135787200. Its totient is φ = 294027264.

The previous prime is 1029138431. The next prime is 1029138437. The reversal of 1029138432 is 2348319201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1029138393 and 1029138402.

It is not an unprimeable number, because it can be changed into a prime (1029138431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31044 + ... + 54972.

It is an arithmetic number, because the mean of its divisors is an integer number (32664450).

Almost surely, 2^1029138432 is an apocalyptic number.

1029138432 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 1029138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567893600).

1029138432 is an abundant number, since it is smaller than the sum of its proper divisors (2106648768).

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

1029138432 is an equidigital number, since it uses as much as digits as its factorization.

1029138432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23961 (or 23941 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1029138432 is about 32080.1875306239. The cubic root of 1029138432 is about 1009.6199700859.

The spelling of 1029138432 in words is "one billion, twenty-nine million, one hundred thirty-eight thousand, four hundred thirty-two".