1828806336 has 336 divisors, whose sum is σ = 6310676736. Its totient is φ = 514335744.

The previous prime is 1828806307. The next prime is 1828806341. The reversal of 1828806336 is 6336088281.

1828806336 is a `hidden beast` number, since 1 + 8 + 2 + 8 + 8 + 0 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1828806336² = 6689065229187489792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1828806291 and 1828806300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11648370 + ... + 11648526.

It is an arithmetic number, because the mean of its divisors is an integer number (18781776).

Almost surely, 2^1828806336 is an apocalyptic number.

1828806336 is a gapful number since it is divisible by the number (16) 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 1828806336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155338368).

1828806336 is an abundant number, since it is smaller than the sum of its proper divisors (4481870400).

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

1828806336 is a wasteful number, since it uses less digits than its factorization.

1828806336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1828806336 is about 42764.5453150153. The cubic root of 1828806336 is about 1222.8951968576.

The spelling of 1828806336 in words is "one billion, eight hundred twenty-eight million, eight hundred six thousand, three hundred thirty-six".