1829013120 has 192 divisors, whose sum is σ = 6890214240. Its totient is φ = 443381760.

The previous prime is 1829013097. The next prime is 1829013161. The reversal of 1829013120 is 213109281.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48927 + ... + 77793.

Almost surely, 2^1829013120 is an apocalyptic number.

1829013120 is a gapful number since it is divisible by the number (10) 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 1829013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445107120).

1829013120 is an abundant number, since it is smaller than the sum of its proper divisors (5061201120).

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

1829013120 is a wasteful number, since it uses less digits than its factorization.

1829013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28903 (or 28888 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1829013120 is about 42766.9629503896. The cubic root of 1829013120 is about 1222.9412862339.

The spelling of 1829013120 in words is "one billion, eight hundred twenty-nine million, thirteen thousand, one hundred twenty".