1305266028 has 96 divisors (see below), whose sum is σ = 3507114240. Its totient is φ = 373674240.

The previous prime is 1305266023. The next prime is 1305266063. The reversal of 1305266028 is 8206625031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 1305266028.

It is not an unprimeable number, because it can be changed into a prime (1305266023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1637326 + ... + 1638122.

It is an arithmetic number, because the mean of its divisors is an integer number (36532440).

Almost surely, 2^1305266028 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 1305266028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753557120).

1305266028 is an abundant number, since it is smaller than the sum of its proper divisors (2201848212).

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

1305266028 is a wasteful number, since it uses less digits than its factorization.

1305266028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1305266028 is about 36128.4656192316. The cubic root of 1305266028 is about 1092.8645657588.

The spelling of 1305266028 in words is "one billion, three hundred five million, two hundred sixty-six thousand, twenty-eight".