1356683328 has 504 divisors, whose sum is σ = 5278867776. Its totient is φ = 323481600.

The previous prime is 1356683323. The next prime is 1356683333. The reversal of 1356683328 is 8233866531.

1356683328 is a `hidden beast` number, since 1 + 3 + 566 + 83 + 3 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1356683323) and next prime (1356683333).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (622080) is a multiple of the sum of its prime factors (243).

It is not an unprimeable number, because it can be changed into a prime (1356683323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7495398 + ... + 7495578.

It is an arithmetic number, because the mean of its divisors is an integer number (10473944).

Almost surely, 2^1356683328 is an apocalyptic number.

1356683328 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 1356683328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639433888).

1356683328 is an abundant number, since it is smaller than the sum of its proper divisors (3922184448).

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

1356683328 is a wasteful number, since it uses less digits than its factorization.

1356683328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 217 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 1356683328 is about 36833.1824310634. The cubic root of 1356683328 is about 1107.0302697099.

The spelling of 1356683328 in words is "one billion, three hundred fifty-six million, six hundred eighty-three thousand, three hundred twenty-eight".