1089727128 has 256 divisors, whose sum is σ = 3634790400. Its totient is φ = 295954560.

The previous prime is 1089727073. The next prime is 1089727129. The reversal of 1089727128 is 8217279801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089727129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3140251 + ... + 3140597.

It is an arithmetic number, because the mean of its divisors is an integer number (14198400).

Almost surely, 2^1089727128 is an apocalyptic number.

1089727128 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 1089727128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817395200).

1089727128 is an abundant number, since it is smaller than the sum of its proper divisors (2545063272).

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

1089727128 is a wasteful number, since it uses less digits than its factorization.

1089727128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 1089727128 is about 33011.0152524881. The cubic root of 1089727128 is about 1029.0565804552.

It can be divided in two parts, 10897 and 27128, that added together give a square (38025 = 195²).

The spelling of 1089727128 in words is "one billion, eighty-nine million, seven hundred twenty-seven thousand, one hundred twenty-eight".