1029829248 has 128 divisors (see below), whose sum is σ = 3473712000. Its totient is φ = 294230016.

The previous prime is 1029829243. The next prime is 1029829249. The reversal of 1029829248 is 8429289201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1029829243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2908 + ... + 45476.

It is an arithmetic number, because the mean of its divisors is an integer number (27138375).

Almost surely, 2^1029829248 is an apocalyptic number.

1029829248 is a gapful number since it is divisible by the number (18) 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 1029829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736856000).

1029829248 is an abundant number, since it is smaller than the sum of its proper divisors (2443882752).

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

1029829248 is an equidigital number, since it uses as much as digits as its factorization.

1029829248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42599 (or 42581 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1029829248 is about 32090.9527437251. The cubic root of 1029829248 is about 1009.8458242591.

The spelling of 1029829248 in words is "one billion, twenty-nine million, eight hundred twenty-nine thousand, two hundred forty-eight".