1081180728 has 96 divisors (see below), whose sum is σ = 2989958400. Its totient is φ = 352872000.

The previous prime is 1081180703. The next prime is 1081180729. The reversal of 1081180728 is 8270811801.

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 = 1081180692 and 1081180701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081180729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 744403 + ... + 745853.

It is an arithmetic number, because the mean of its divisors is an integer number (31145400).

Almost surely, 2^1081180728 is an apocalyptic number.

1081180728 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 1081180728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494979200).

1081180728 is an abundant number, since it is smaller than the sum of its proper divisors (1908777672).

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

1081180728 is a wasteful number, since it uses less digits than its factorization.

1081180728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The square root of 1081180728 is about 32881.3127475166. The cubic root of 1081180728 is about 1026.3593237748.

The spelling of 1081180728 in words is "one billion, eighty-one million, one hundred eighty thousand, seven hundred twenty-eight".