1091248128 has 252 divisors, whose sum is σ = 3408089958. Its totient is φ = 336199680.

The previous prime is 1091248121. The next prime is 1091248181. The reversal of 1091248128 is 8218421901.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1077940224 + 13307904 = 32832^2 + 3648^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1091248092 and 1091248101.

It is not an unprimeable number, because it can be changed into a prime (1091248121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26615788 + ... + 26615828.

Almost surely, 2^1091248128 is an apocalyptic number.

1091248128 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 1091248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704044979).

1091248128 is an abundant number, since it is smaller than the sum of its proper divisors (2316841830).

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

1091248128 is an equidigital number, since it uses as much as digits as its factorization.

1091248128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1091248128 is about 33034.0449839253. The cubic root of 1091248128 is about 1029.5351306566.

The spelling of 1091248128 in words is "one billion, ninety-one million, two hundred forty-eight thousand, one hundred twenty-eight".