1944304128 has 320 divisors, whose sum is σ = 6416256000. Its totient is φ = 577290240.

The previous prime is 1944304121. The next prime is 1944304139. The reversal of 1944304128 is 8214034491.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1944304092 and 1944304101.

It is not an unprimeable number, because it can be changed into a prime (1944304121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5570898 + ... + 5571246.

It is an arithmetic number, because the mean of its divisors is an integer number (20050800).

Almost surely, 2^1944304128 is an apocalyptic number.

1944304128 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 1944304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208128000).

1944304128 is an abundant number, since it is smaller than the sum of its proper divisors (4471951872).

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

1944304128 is a wasteful number, since it uses less digits than its factorization.

1944304128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1944304128 is about 44094.2641167760. The cubic root of 1944304128 is about 1248.1153739491.

The spelling of 1944304128 in words is "one billion, nine hundred forty-four million, three hundred four thousand, one hundred twenty-eight".