1305728424 has 576 divisors, whose sum is σ = 5042593920. Its totient is φ = 307929600.

The previous prime is 1305728419. The next prime is 1305728453. The reversal of 1305728424 is 4248275031.

It is a happy number.

1305728424 is a `hidden beast` number, since 1 + 3 + 0 + 572 + 84 + 2 + 4 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21405354 + ... + 21405414.

Almost surely, 2^1305728424 is an apocalyptic number.

1305728424 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 1305728424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521296960).

1305728424 is an abundant number, since it is smaller than the sum of its proper divisors (3736865496).

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

1305728424 is a wasteful number, since it uses less digits than its factorization.

1305728424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1305728424 is about 36134.8643833072. The cubic root of 1305728424 is about 1092.9936011514.

The spelling of 1305728424 in words is "one billion, three hundred five million, seven hundred twenty-eight thousand, four hundred twenty-four".