1828480320 has 168 divisors, whose sum is σ = 6332905800. Its totient is φ = 484208640.

The previous prime is 1828480309. The next prime is 1828480331. The reversal of 1828480320 is 230848281.

It is a happy number.

1828480320 is a `hidden beast` number, since 182 + 84 + 80 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (1828480309) and next prime (1828480331).

It can be written as a sum of positive squares in 4 ways, for example, as 283046976 + 1545433344 = 16824^2 + 39312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426990 + ... + 431250.

Almost surely, 2^1828480320 is an apocalyptic number.

1828480320 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 1828480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166452900).

1828480320 is an abundant number, since it is smaller than the sum of its proper divisors (4504425480).

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

1828480320 is a wasteful number, since it uses less digits than its factorization.

1828480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1828480320 is about 42760.7333894076. The cubic root of 1828480320 is about 1222.8225252128.

The spelling of 1828480320 in words is "one billion, eight hundred twenty-eight million, four hundred eighty thousand, three hundred twenty".