1188145728 has 504 divisors, whose sum is σ = 4471964640. Its totient is φ = 298045440.

The previous prime is 1188145687. The next prime is 1188145733. The reversal of 1188145728 is 8275418811.

1188145728 is a `hidden beast` number, since 118 + 81 + 457 + 2 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13349908 + ... + 13349996.

Almost surely, 2^1188145728 is an apocalyptic number.

1188145728 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 1188145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235982320).

1188145728 is an abundant number, since it is smaller than the sum of its proper divisors (3283818912).

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

1188145728 is a wasteful number, since it uses less digits than its factorization.

1188145728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its digits is 143360, while the sum is 45.

The square root of 1188145728 is about 34469.4898134568. The cubic root of 1188145728 is about 1059.1478044335.

The spelling of 1188145728 in words is "one billion, one hundred eighty-eight million, one hundred forty-five thousand, seven hundred twenty-eight".