1105390728 has 192 divisors, whose sum is σ = 3446876160. Its totient is φ = 317011968.

The previous prime is 1105390717. The next prime is 1105390733. The reversal of 1105390728 is 8270935011.

1105390728 is a `hidden beast` number, since 110 + 539 + 0 + 7 + 2 + 8 = 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 = 1105390692 and 1105390701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2020551 + ... + 2021097.

It is an arithmetic number, because the mean of its divisors is an integer number (17952480).

Almost surely, 2^1105390728 is an apocalyptic number.

1105390728 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 1105390728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723438080).

1105390728 is an abundant number, since it is smaller than the sum of its proper divisors (2341485432).

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

1105390728 is a wasteful number, since it uses less digits than its factorization.

1105390728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1105390728 is about 33247.4168620661. The cubic root of 1105390728 is about 1033.9636535430.

The spelling of 1105390728 in words is "one billion, one hundred five million, three hundred ninety thousand, seven hundred twenty-eight".