1829938824 has 128 divisors (see below), whose sum is σ = 5864140800. Its totient is φ = 517907520.

The previous prime is 1829938823. The next prime is 1829938829. The reversal of 1829938824 is 4288399281.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (1829938823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156129 + ... + 167439.

It is an arithmetic number, because the mean of its divisors is an integer number (45813600).

Almost surely, 2^1829938824 is an apocalyptic number.

1829938824 is a gapful number since it is divisible by the number (14) 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 1829938824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932070400).

1829938824 is an abundant number, since it is smaller than the sum of its proper divisors (4034201976).

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

1829938824 is a wasteful number, since it uses less digits than its factorization.

1829938824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11440 (or 11430 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 1829938824 is about 42777.7842343429. The cubic root of 1829938824 is about 1223.1475706487.

The spelling of 1829938824 in words is "one billion, eight hundred twenty-nine million, nine hundred thirty-eight thousand, eight hundred twenty-four".