1319290128 has 120 divisors (see below), whose sum is σ = 4073411160. Its totient is φ = 396011520.

The previous prime is 1319290123. The next prime is 1319290139. The reversal of 1319290128 is 8210929131.

It can be written as a sum of positive squares in 4 ways, for example, as 41370624 + 1277919504 = 6432^2 + 35748^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1319290092 and 1319290101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1319290123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68158 + ... + 85346.

It is an arithmetic number, because the mean of its divisors is an integer number (33945093).

Almost surely, 2^1319290128 is an apocalyptic number.

1319290128 is a gapful number since it is divisible by the number (18) 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 1319290128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036705580).

1319290128 is an abundant number, since it is smaller than the sum of its proper divisors (2754121032).

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

1319290128 is a wasteful number, since it uses less digits than its factorization.

1319290128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17257 (or 17248 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1319290128 is about 36322.0336435063. The cubic root of 1319290128 is about 1096.7646332765.

The spelling of 1319290128 in words is "one billion, three hundred nineteen million, two hundred ninety thousand, one hundred twenty-eight".