1029129948 has 360 divisors, whose sum is σ = 3503896704. Its totient is φ = 260366400.

The previous prime is 1029129947. The next prime is 1029129949. The reversal of 1029129948 is 8499219201.

It is an interprime number because it is at equal distance from previous prime (1029129947) and next prime (1029129949).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029129943) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12399115 + ... + 12399197.

Almost surely, 2^1029129948 is an apocalyptic number.

1029129948 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 1029129948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751948352).

1029129948 is an abundant number, since it is smaller than the sum of its proper divisors (2474766756).

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

1029129948 is a wasteful number, since it uses less digits than its factorization.

1029129948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1029129948 is about 32080.0552992042. The cubic root of 1029129948 is about 1009.6171957137.

The spelling of 1029129948 in words is "one billion, twenty-nine million, one hundred twenty-nine thousand, nine hundred forty-eight".