1091628144 has 80 divisors (see below), whose sum is σ = 3143965440. Its totient is φ = 362646720.

The previous prime is 1091628127. The next prime is 1091628151. The reversal of 1091628144 is 4418261901.

1091628144 is a `hidden beast` number, since 10 + 9 + 1 + 628 + 14 + 4 = 666.

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 = 1091628099 and 1091628108.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 128509 + ... + 136739.

It is an arithmetic number, because the mean of its divisors is an integer number (39299568).

Almost surely, 2^1091628144 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 1091628144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571982720).

1091628144 is an abundant number, since it is smaller than the sum of its proper divisors (2052337296).

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

1091628144 is a wasteful number, since it uses less digits than its factorization.

1091628144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8555 (or 8543 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1091628144 is about 33039.7963674112. The cubic root of 1091628144 is about 1029.6546251467.

It can be divided in two parts, 10916 and 28144, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 1091628144 in words is "one billion, ninety-one million, six hundred twenty-eight thousand, one hundred forty-four".