1363199328 has 192 divisors, whose sum is σ = 4182796800. Its totient is φ = 431101440.

The previous prime is 1363199311. The next prime is 1363199329. The reversal of 1363199328 is 8239913631.

1363199328 is a `hidden beast` number, since 1 + 3 + 6 + 319 + 9 + 328 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363199329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3596643 + ... + 3597021.

It is an arithmetic number, because the mean of its divisors is an integer number (21785400).

Almost surely, 2^1363199328 is an apocalyptic number.

1363199328 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 1363199328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091398400).

1363199328 is an abundant number, since it is smaller than the sum of its proper divisors (2819597472).

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

1363199328 is a wasteful number, since it uses less digits than its factorization.

1363199328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 588 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 1363199328 is about 36921.5293291055. The cubic root of 1363199328 is about 1108.7997545023.

The spelling of 1363199328 in words is "one billion, three hundred sixty-three million, one hundred ninety-nine thousand, three hundred twenty-eight".