1828132080 has 80 divisors (see below), whose sum is σ = 5717446560. Its totient is φ = 483180544.

The previous prime is 1828132079. The next prime is 1828132099. The reversal of 1828132080 is 802318281.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 6585 + ... + 60824.

It is an arithmetic number, because the mean of its divisors is an integer number (71468082).

Almost surely, 2^1828132080 is an apocalyptic number.

1828132080 is a gapful number since it is divisible by the number (10) 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 1828132080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858723280).

1828132080 is an abundant number, since it is smaller than the sum of its proper divisors (3889314480).

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

1828132080 is a wasteful number, since it uses less digits than its factorization.

1828132080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67538 (or 67532 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 1828132080 is about 42756.6612354145. The cubic root of 1828132080 is about 1222.7448901136.

The spelling of 1828132080 in words is "one billion, eight hundred twenty-eight million, one hundred thirty-two thousand, eighty".