1352788128 has 120 divisors (see below), whose sum is σ = 3989908692. Its totient is φ = 449639424.

The previous prime is 1352788121. The next prime is 1352788147. The reversal of 1352788128 is 8218872531.

It can be written as a sum of positive squares in 2 ways, for example, as 1019652624 + 333135504 = 31932^2 + 18252^2 .

It is not an unprimeable number, because it can be changed into a prime (1352788121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1443276 + ... + 1444212.

Almost surely, 2^1352788128 is an apocalyptic number.

1352788128 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 1352788128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994954346).

1352788128 is an abundant number, since it is smaller than the sum of its proper divisors (2637120564).

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

1352788128 is an equidigital number, since it uses as much as digits as its factorization.

1352788128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1499 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 1352788128 is about 36780.2681882555. The cubic root of 1352788128 is about 1105.9697820563.

The spelling of 1352788128 in words is "one billion, three hundred fifty-two million, seven hundred eighty-eight thousand, one hundred twenty-eight".