1188328320 has 288 divisors, whose sum is σ = 4276111320. Its totient is φ = 315767808.

The previous prime is 1188328319. The next prime is 1188328333. The reversal of 1188328320 is 238238811.

1188328320 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 328 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1188328320² = 2824248392228044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4198899 + ... + 4199181.

Almost surely, 2^1188328320 is an apocalyptic number.

1188328320 is a gapful number since it is divisible by the number (10) 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 1188328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138055660).

1188328320 is an abundant number, since it is smaller than the sum of its proper divisors (3087783000).

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

1188328320 is an frugal number, since it uses more digits than its factorization.

1188328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1188328320 is about 34472.1383148768. The cubic root of 1188328320 is about 1059.2020576017.

The spelling of 1188328320 in words is "one billion, one hundred eighty-eight million, three hundred twenty-eight thousand, three hundred twenty".