1286413828 has 48 divisors (see below), whose sum is σ = 2697698304. Its totient is φ = 524795040.

The previous prime is 1286413819. The next prime is 1286413831. The reversal of 1286413828 is 8283146821.

It is a happy number.

It is a super-2 number, since 2×1286413828² = 3309721073739227168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131151 + ... + 140617.

It is an arithmetic number, because the mean of its divisors is an integer number (56202048).

Almost surely, 2^1286413828 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 1286413828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348849152).

1286413828 is an abundant number, since it is smaller than the sum of its proper divisors (1411284476).

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

1286413828 is a wasteful number, since it uses less digits than its factorization.

1286413828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9712 (or 9710 counting only the distinct ones).

The product of its digits is 147456, while the sum is 43.

The square root of 1286413828 is about 35866.6116046665. The cubic root of 1286413828 is about 1087.5775476123.

The spelling of 1286413828 in words is "one billion, two hundred eighty-six million, four hundred thirteen thousand, eight hundred twenty-eight".