1841228928 has 768 divisors, whose sum is σ = 7423315200. Its totient is φ = 437944320.

The previous prime is 1841228903. The next prime is 1841228933. The reversal of 1841228928 is 8298221481.

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 49762926 + ... + 49762962.

It is an arithmetic number, because the mean of its divisors is an integer number (9665775).

Almost surely, 2^1841228928 is an apocalyptic number.

1841228928 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 1841228928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711657600).

1841228928 is an abundant number, since it is smaller than the sum of its proper divisors (5582086272).

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

1841228928 is a wasteful number, since it uses less digits than its factorization.

1841228928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 1841228928 is about 42909.5435538529. The cubic root of 1841228928 is about 1225.6578841334.

The spelling of 1841228928 in words is "one billion, eight hundred forty-one million, two hundred twenty-eight thousand, nine hundred twenty-eight".