1315393128 has 128 divisors (see below), whose sum is σ = 4185216000. Its totient is φ = 374984640.

The previous prime is 1315393109. The next prime is 1315393133. The reversal of 1315393128 is 8213935131.

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 = 1315393092 and 1315393101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1044163 + ... + 1045421.

It is an arithmetic number, because the mean of its divisors is an integer number (32697000).

Almost surely, 2^1315393128 is an apocalyptic number.

1315393128 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 1315393128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092608000).

1315393128 is an abundant number, since it is smaller than the sum of its proper divisors (2869822872).

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

1315393128 is a wasteful number, since it uses less digits than its factorization.

1315393128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1962 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 1315393128 is about 36268.3488457911. The cubic root of 1315393128 is about 1095.6836713857.

The spelling of 1315393128 in words is "one billion, three hundred fifteen million, three hundred ninety-three thousand, one hundred twenty-eight".