1085184828 has 216 divisors, whose sum is σ = 3446771328. Its totient is φ = 281833344.

The previous prime is 1085184799. The next prime is 1085184847. The reversal of 1085184828 is 8284815801.

1085184828 is a `hidden beast` number, since 108 + 518 + 4 + 8 + 28 = 666.

It is a super-2 number, since 2×1085184828² = 2355252221842779168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3534651 + ... + 3534957.

Almost surely, 2^1085184828 is an apocalyptic number.

1085184828 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 1085184828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723385664).

1085184828 is an abundant number, since it is smaller than the sum of its proper divisors (2361586500).

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

1085184828 is a wasteful number, since it uses less digits than its factorization.

1085184828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The square root of 1085184828 is about 32942.1436460956. The cubic root of 1085184828 is about 1027.6247867341.

The spelling of 1085184828 in words is "one billion, eighty-five million, one hundred eighty-four thousand, eight hundred twenty-eight".