1829085150 has 48 divisors (see below), whose sum is σ = 4557708288. Its totient is φ = 485436000.

The previous prime is 1829085133. The next prime is 1829085151. The reversal of 1829085150 is 515809281.

It is a junction number, because it is equal to n+sod(n) for n = 1829085099 and 1829085108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1829085151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2755 + ... + 60545.

It is an arithmetic number, because the mean of its divisors is an integer number (94952256).

Almost surely, 2^1829085150 is an apocalyptic number.

1829085150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1829085150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278854144).

1829085150 is an abundant number, since it is smaller than the sum of its proper divisors (2728623138).

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

1829085150 is a wasteful number, since it uses less digits than its factorization.

1829085150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58017 (or 58012 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 39.

The square root of 1829085150 is about 42767.8050640900. The cubic root of 1829085150 is about 1222.9573399377.

The spelling of 1829085150 in words is "one billion, eight hundred twenty-nine million, eighty-five thousand, one hundred fifty".