1290328704 has 320 divisors, whose sum is σ = 4585299840. Its totient is φ = 352180224.

The previous prime is 1290328691. The next prime is 1290328723. The reversal of 1290328704 is 4078230921.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1668862 + ... + 1669634.

It is an arithmetic number, because the mean of its divisors is an integer number (14329062).

Almost surely, 2^1290328704 is an apocalyptic number.

1290328704 is a gapful number since it is divisible by the number (14) 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 1290328704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292649920).

1290328704 is an abundant number, since it is smaller than the sum of its proper divisors (3294971136).

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

1290328704 is an equidigital number, since it uses as much as digits as its factorization.

1290328704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1290328704 is about 35921.1456387460. The cubic root of 1290328704 is about 1088.6796863186.

The spelling of 1290328704 in words is "one billion, two hundred ninety million, three hundred twenty-eight thousand, seven hundred four".