1481728304 has 80 divisors (see below), whose sum is σ = 3354451968. Its totient is φ = 620960256.

The previous prime is 1481728289. The next prime is 1481728309. The reversal of 1481728304 is 4038271841.

It is not an unprimeable number, because it can be changed into a prime (1481728309) 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 15 ways as a sum of consecutive naturals, for example, 1037639 + ... + 1039065.

Almost surely, 2^1481728304 is an apocalyptic number.

1481728304 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 1481728304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677225984).

1481728304 is an abundant number, since it is smaller than the sum of its proper divisors (1872723664).

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

1481728304 is a wasteful number, since it uses less digits than its factorization.

1481728304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 1481728304 is about 38493.2241310078. The cubic root of 1481728304 is about 1140.0472700210.

The spelling of 1481728304 in words is "one billion, four hundred eighty-one million, seven hundred twenty-eight thousand, three hundred four".