1105828480 has 64 divisors (see below), whose sum is σ = 2647756800. Its totient is φ = 441639936.

The previous prime is 1105828469. The next prime is 1105828489. The reversal of 1105828480 is 848285011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1105828480² = 2445713254358220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1105828489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 664129 + ... + 665791.

It is an arithmetic number, because the mean of its divisors is an integer number (41371200).

Almost surely, 2^1105828480 is an apocalyptic number.

1105828480 is a gapful number since it is divisible by the number (10) 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 1105828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323878400).

1105828480 is an abundant number, since it is smaller than the sum of its proper divisors (1541928320).

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

1105828480 is a wasteful number, since it uses less digits than its factorization.

1105828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The square root of 1105828480 is about 33253.9994587117. Note that the first 3 decimals coincide. The cubic root of 1105828480 is about 1034.1001241172.

The spelling of 1105828480 in words is "one billion, one hundred five million, eight hundred twenty-eight thousand, four hundred eighty".