1829130936 has 64 divisors (see below), whose sum is σ = 4785177600. Its totient is φ = 581547648.

The previous prime is 1829130917. The next prime is 1829130943. The reversal of 1829130936 is 6390319281.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198070 + ... + 207098.

It is an arithmetic number, because the mean of its divisors is an integer number (74768400).

Almost surely, 2^1829130936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1829130936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392588800).

1829130936 is an abundant number, since it is smaller than the sum of its proper divisors (2956046664).

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

1829130936 is a wasteful number, since it uses less digits than its factorization.

1829130936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9428 (or 9424 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 1829130936 is about 42768.3403465694. The cubic root of 1829130936 is about 1222.9675442845.

The spelling of 1829130936 in words is "one billion, eight hundred twenty-nine million, one hundred thirty thousand, nine hundred thirty-six".