1290928128 has 216 divisors, whose sum is σ = 4064265072. Its totient is φ = 363331584.

The previous prime is 1290928117. The next prime is 1290928139. The reversal of 1290928128 is 8218290921.

It is an interprime number because it is at equal distance from previous prime (1290928117) and next prime (1290928139).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1290928128.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19267551 + ... + 19267617.

It is an arithmetic number, because the mean of its divisors is an integer number (18816042).

Almost surely, 2^1290928128 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 1290928128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032132536).

1290928128 is an abundant number, since it is smaller than the sum of its proper divisors (2773336944).

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

1290928128 is an frugal number, since it uses more digits than its factorization.

1290928128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 1290928128 is about 35929.4882791281. The cubic root of 1290928128 is about 1088.8482427761.

The spelling of 1290928128 in words is "one billion, two hundred ninety million, nine hundred twenty-eight thousand, one hundred twenty-eight".