1355933328 has 120 divisors (see below), whose sum is σ = 3915204768. Its totient is φ = 402914304.

The previous prime is 1355933321. The next prime is 1355933333. The reversal of 1355933328 is 8233395531.

It is a happy number.

It is a Cunningham number, because it is equal to 36823²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 1355933328.

It is not an unprimeable number, because it can be changed into a prime (1355933321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292275 + ... + 296877.

Almost surely, 2^1355933328 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 1355933328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957602384).

1355933328 is an abundant number, since it is smaller than the sum of its proper divisors (2559271440).

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

1355933328 is a wasteful number, since it uses less digits than its factorization.

1355933328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669 (or 4644 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

The square root of 1355933328 is about 36822.9999864215. Note that the first 4 decimals coincide. The cubic root of 1355933328 is about 1106.8262364058.

The spelling of 1355933328 in words is "one billion, three hundred fifty-five million, nine hundred thirty-three thousand, three hundred twenty-eight".