1829096412 has 96 divisors (see below), whose sum is σ = 5023759104. Its totient is φ = 510643200.

The previous prime is 1829096393. The next prime is 1829096431. The reversal of 1829096412 is 2146909281.

It is an interprime number because it is at equal distance from previous prime (1829096393) and next prime (1829096431).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675987 + ... + 1677077.

It is an arithmetic number, because the mean of its divisors is an integer number (52330824).

Almost surely, 2^1829096412 is an apocalyptic number.

1829096412 is a gapful number since it is divisible by the number (12) 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 1829096412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511879552).

1829096412 is an abundant number, since it is smaller than the sum of its proper divisors (3194662692).

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

1829096412 is a wasteful number, since it uses less digits than its factorization.

1829096412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 1829096412 is about 42767.9367283483. The cubic root of 1829096412 is about 1222.9598499206.

The spelling of 1829096412 in words is "one billion, eight hundred twenty-nine million, ninety-six thousand, four hundred twelve".