1290036328 has 72 divisors (see below), whose sum is σ = 2941854930. Its totient is φ = 528749760.

The previous prime is 1290036323. The next prime is 1290036329. The reversal of 1290036328 is 8236300921.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1277490564 + 12545764 = 35742^2 + 3542^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1290036293 and 1290036302.

It is not an unprimeable number, because it can be changed into a prime (1290036323) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 204258 + ... + 210478.

Almost surely, 2^1290036328 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 1290036328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470927465).

1290036328 is an abundant number, since it is smaller than the sum of its proper divisors (1651818602).

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

1290036328 is a wasteful number, since it uses less digits than its factorization.

1290036328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 1290036328 is about 35917.0757161548. The cubic root of 1290036328 is about 1088.5974520126.

The spelling of 1290036328 in words is "one billion, two hundred ninety million, thirty-six thousand, three hundred twenty-eight".