1085833728 has 320 divisors, whose sum is σ = 3764640000. Its totient is φ = 308883456.

The previous prime is 1085833711. The next prime is 1085833751. The reversal of 1085833728 is 8273385801.

1085833728 is a `hidden beast` number, since 10 + 8 + 583 + 37 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4741518 + ... + 4741746.

It is an arithmetic number, because the mean of its divisors is an integer number (11764500).

Almost surely, 2^1085833728 is an apocalyptic number.

1085833728 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 1085833728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882320000).

1085833728 is an abundant number, since it is smaller than the sum of its proper divisors (2678806272).

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

1085833728 is an frugal number, since it uses more digits than its factorization.

1085833728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1085833728 is about 32951.9912600134. The cubic root of 1085833728 is about 1027.8295730030.

The spelling of 1085833728 in words is "one billion, eighty-five million, eight hundred thirty-three thousand, seven hundred twenty-eight".