1829632896 has 384 divisors, whose sum is σ = 6700861440. Its totient is φ = 466145280.

The previous prime is 1829632813. The next prime is 1829632951. The reversal of 1829632896 is 6982369281.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3249511 + ... + 3250073.

It is an arithmetic number, because the mean of its divisors is an integer number (17450160).

Almost surely, 2^1829632896 is an apocalyptic number.

1829632896 is a gapful number since it is divisible by the number (16) 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 1829632896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350430720).

1829632896 is an abundant number, since it is smaller than the sum of its proper divisors (4871228544).

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

1829632896 is a wasteful number, since it uses less digits than its factorization.

1829632896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 619 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 1829632896 is about 42774.2083036028. The cubic root of 1829632896 is about 1223.0794051743.

The spelling of 1829632896 in words is "one billion, eight hundred twenty-nine million, six hundred thirty-two thousand, eight hundred ninety-six".