1828055744 has 112 divisors (see below), whose sum is σ = 3852769536. Its totient is φ = 859622400.

The previous prime is 1828055729. The next prime is 1828055777. The reversal of 1828055744 is 4475508281.

It is a junction number, because it is equal to n+sod(n) for n = 1828055695 and 1828055704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13954559 + ... + 13954689.

It is an arithmetic number, because the mean of its divisors is an integer number (34399728).

Almost surely, 2^1828055744 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 1828055744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926384768).

1828055744 is an abundant number, since it is smaller than the sum of its proper divisors (2024713792).

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

1828055744 is a wasteful number, since it uses less digits than its factorization.

1828055744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 44.

The square root of 1828055744 is about 42755.7685464780. The cubic root of 1828055744 is about 1222.7278707829.

The spelling of 1828055744 in words is "one billion, eight hundred twenty-eight million, fifty-five thousand, seven hundred forty-four".