1484821128 has 96 divisors (see below), whose sum is σ = 4331361600. Its totient is φ = 422932608.

The previous prime is 1484821127. The next prime is 1484821153. The reversal of 1484821128 is 8211284841.

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 (1484821127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420426 + ... + 423942.

It is an arithmetic number, because the mean of its divisors is an integer number (45118350).

Almost surely, 2^1484821128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1484821128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165680800).

1484821128 is an abundant number, since it is smaller than the sum of its proper divisors (2846540472).

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

1484821128 is a wasteful number, since it uses less digits than its factorization.

1484821128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899 (or 3888 counting only the distinct ones).

The product of its digits is 32768, while the sum is 39.

The square root of 1484821128 is about 38533.3768050504. The cubic root of 1484821128 is about 1140.8399288664.

The spelling of 1484821128 in words is "one billion, four hundred eighty-four million, eight hundred twenty-one thousand, one hundred twenty-eight".