1352882688 has 160 divisors (see below), whose sum is σ = 3831421440. Its totient is φ = 423014400.

The previous prime is 1352882633. The next prime is 1352882711. The reversal of 1352882688 is 8862882531.

It is a self number, because there is not a number n which added to its sum of digits gives 1352882688.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4406631 + ... + 4406937.

It is an arithmetic number, because the mean of its divisors is an integer number (23946384).

Almost surely, 2^1352882688 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 1352882688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915710720).

1352882688 is an abundant number, since it is smaller than the sum of its proper divisors (2478538752).

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

1352882688 is a wasteful number, since it uses less digits than its factorization.

1352882688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 482 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 51.

The square root of 1352882688 is about 36781.5536376592. The cubic root of 1352882688 is about 1105.9955505818.

The spelling of 1352882688 in words is "one billion, three hundred fifty-two million, eight hundred eighty-two thousand, six hundred eighty-eight".