19829448 has 80 divisors (see below), whose sum is σ = 56453760. Its totient is φ = 6501600.

The previous prime is 19829401. The next prime is 19829461. The reversal of 19829448 is 84492891.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45793 + ... + 46223.

It is an arithmetic number, because the mean of its divisors is an integer number (705672).

Almost surely, 2^19829448 is an apocalyptic number.

19829448 is a gapful number since it is divisible by the number (18) 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 19829448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28226880).

19829448 is an abundant number, since it is smaller than the sum of its proper divisors (36624312).

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

19829448 is a wasteful number, since it uses less digits than its factorization.

19829448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 507 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 19829448 is about 4453.0268357601. The cubic root of 19829448 is about 270.6679757056.

It can be divided in two parts, 198 and 29448, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 19829448 in words is "nineteen million, eight hundred twenty-nine thousand, four hundred forty-eight".