1085304528 has 480 divisors, whose sum is σ = 4071168000. Its totient is φ = 273611520.

The previous prime is 1085304503. The next prime is 1085304569. The reversal of 1085304528 is 8254035801.

It is a happy number.

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 = 1085304492 and 1085304501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13737993 + ... + 13738071.

It is an arithmetic number, because the mean of its divisors is an integer number (8481600).

Almost surely, 2^1085304528 is an apocalyptic number.

1085304528 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 1085304528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035584000).

1085304528 is an abundant number, since it is smaller than the sum of its proper divisors (2985863472).

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

1085304528 is a wasteful number, since it uses less digits than its factorization.

1085304528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1085304528 is about 32943.9604176547. The cubic root of 1085304528 is about 1027.6625689813.

The spelling of 1085304528 in words is "one billion, eighty-five million, three hundred four thousand, five hundred twenty-eight".