1828734432 has 192 divisors, whose sum is σ = 5734955520. Its totient is φ = 499193856.

The previous prime is 1828734389. The next prime is 1828734437. The reversal of 1828734432 is 2344378281.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828734437) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2084778 + ... + 2085654.

It is an arithmetic number, because the mean of its divisors is an integer number (29869560).

Almost surely, 2^1828734432 is an apocalyptic number.

1828734432 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 1828734432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867477760).

1828734432 is an abundant number, since it is smaller than the sum of its proper divisors (3906221088).

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

1828734432 is a wasteful number, since it uses less digits than its factorization.

1828734432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1025 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 1828734432 is about 42763.7046103352. The cubic root of 1828734432 is about 1222.8791696077.

The spelling of 1828734432 in words is "one billion, eight hundred twenty-eight million, seven hundred thirty-four thousand, four hundred thirty-two".