1085383728 has 120 divisors (see below), whose sum is σ = 3568677840. Its totient is φ = 303598080.

The previous prime is 1085383679. The next prime is 1085383753. The reversal of 1085383728 is 8273835801.

1085383728 is a `hidden beast` number, since 108 + 538 + 3 + 7 + 2 + 8 = 666.

It is a super-3 number, since 3×1085383728³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5763 + ... + 46946.

It is an arithmetic number, because the mean of its divisors is an integer number (29738982).

Almost surely, 2^1085383728 is an apocalyptic number.

1085383728 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 1085383728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784338920).

1085383728 is an abundant number, since it is smaller than the sum of its proper divisors (2483294112).

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

1085383728 is a wasteful number, since it uses less digits than its factorization.

1085383728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52747 (or 52738 counting only the distinct ones).

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

The square root of 1085383728 is about 32945.1624369952. The cubic root of 1085383728 is about 1027.6875662344.

The spelling of 1085383728 in words is "one billion, eighty-five million, three hundred eighty-three thousand, seven hundred twenty-eight".