1036105728 has 96 divisors (see below), whose sum is σ = 3157015680. Its totient is φ = 296017920.

The previous prime is 1036105727. The next prime is 1036105747. The reversal of 1036105728 is 8275016301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1036105728³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036105723) 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, 30963 + ... + 55053.

It is an arithmetic number, because the mean of its divisors is an integer number (32885580).

Almost surely, 2^1036105728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1036105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578507840).

1036105728 is an abundant number, since it is smaller than the sum of its proper divisors (2120909952).

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

1036105728 is an equidigital number, since it uses as much as digits as its factorization.

1036105728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24123 (or 24103 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1036105728 is about 32188.5962415263. The cubic root of 1036105728 is about 1011.8932329156.

The spelling of 1036105728 in words is "one billion, thirty-six million, one hundred five thousand, seven hundred twenty-eight".