1178032128 has 384 divisors, whose sum is σ = 4036032000. Its totient is φ = 303464448.

The previous prime is 1178032127. The next prime is 1178032139. The reversal of 1178032128 is 8212308711.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1178032127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27396075 + ... + 27396117.

It is an arithmetic number, because the mean of its divisors is an integer number (10510500).

Almost surely, 2^1178032128 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 1178032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018016000).

1178032128 is an abundant number, since it is smaller than the sum of its proper divisors (2857999872).

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

1178032128 is an equidigital number, since it uses as much as digits as its factorization.

1178032128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 1178032128 is about 34322.4726382002. The cubic root of 1178032128 is about 1056.1340509348.

The spelling of 1178032128 in words is "one billion, one hundred seventy-eight million, thirty-two thousand, one hundred twenty-eight".