1191472128 has 528 divisors, whose sum is σ = 4537069056. Its totient is φ = 291962880.

The previous prime is 1191472127. The next prime is 1191472141. The reversal of 1191472128 is 8212741911.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1191472092 and 1191472101.

It is not an unprimeable number, because it can be changed into a prime (1191472127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16321500 + ... + 16321572.

Almost surely, 2^1191472128 is an apocalyptic number.

1191472128 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 1191472128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268534528).

1191472128 is an abundant number, since it is smaller than the sum of its proper divisors (3345596928).

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

1191472128 is a wasteful number, since it uses less digits than its factorization.

1191472128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 1191472128 is about 34517.7074557393. The cubic root of 1191472128 is about 1060.1353001614.

The spelling of 1191472128 in words is "one billion, one hundred ninety-one million, four hundred seventy-two thousand, one hundred twenty-eight".