1290028880 has 60 divisors (see below), whose sum is σ = 3489012180. Its totient is φ = 442294272.

The previous prime is 1290028877. The next prime is 1290028889. The reversal of 1290028880 is 888200921.

It can be written as a sum of positive squares in 2 ways, for example, as 372181264 + 917847616 = 19292^2 + 30296^2 .

It is a super-2 number, since 2×1290028880² = 3328349022468108800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290028889) 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 11 ways as a sum of consecutive naturals, for example, 160625 + ... + 168464.

It is an arithmetic number, because the mean of its divisors is an integer number (58150203).

Almost surely, 2^1290028880 is an apocalyptic number.

1290028880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1290028880 is an abundant number, since it is smaller than the sum of its proper divisors (2198983300).

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

1290028880 is a wasteful number, since it uses less digits than its factorization.

1290028880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329116 (or 329103 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 1290028880 is about 35916.9720327313. The cubic root of 1290028880 is about 1088.5953570097.

The spelling of 1290028880 in words is "one billion, two hundred ninety million, twenty-eight thousand, eight hundred eighty".