1828448388 has 144 divisors (see below), whose sum is σ = 5335389696. Its totient is φ = 523480320.

The previous prime is 1828448387. The next prime is 1828448393. The reversal of 1828448388 is 8838448281.

1828448388 is a `hidden beast` number, since 1 + 8 + 2 + 84 + 483 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (1828448387) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 395973 + ... + 400563.

Almost surely, 2^1828448388 is an apocalyptic number.

1828448388 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 1828448388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667694848).

1828448388 is an abundant number, since it is smaller than the sum of its proper divisors (3506941308).

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

1828448388 is a wasteful number, since it uses less digits than its factorization.

1828448388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674 (or 4669 counting only the distinct ones).

The product of its digits is 3145728, while the sum is 54.

The square root of 1828448388 is about 42760.3600078390. The cubic root of 1828448388 is about 1222.8154068432.

The spelling of 1828448388 in words is "one billion, eight hundred twenty-eight million, four hundred forty-eight thousand, three hundred eighty-eight".