1306342728 has 192 divisors, whose sum is σ = 3868300800. Its totient is φ = 412439040.

The previous prime is 1306342699. The next prime is 1306342733. The reversal of 1306342728 is 8272436031.

It is a happy number.

1306342728 is a `hidden beast` number, since 1 + 306 + 342 + 7 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1306342692 and 1306342701.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3193788 + ... + 3194196.

It is an arithmetic number, because the mean of its divisors is an integer number (20147400).

Almost surely, 2^1306342728 is an apocalyptic number.

1306342728 is a gapful number since it is divisible by the number (18) 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 1306342728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934150400).

1306342728 is an abundant number, since it is smaller than the sum of its proper divisors (2561958072).

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

1306342728 is a wasteful number, since it uses less digits than its factorization.

1306342728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1306342728 is about 36143.3635402130. The cubic root of 1306342728 is about 1093.1649806054.

Adding to 1306342728 its reverse (8272436031), we get a palindrome (9578778759).

The spelling of 1306342728 in words is "one billion, three hundred six million, three hundred forty-two thousand, seven hundred twenty-eight".