1928448000 has 576 divisors, whose sum is σ = 7440975360. Its totient is φ = 497664000.

The previous prime is 1928447999. The next prime is 1928448077. The reversal of 1928448000 is 8448291.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62207985 + ... + 62208015.

It is an arithmetic number, because the mean of its divisors is an integer number (12918360).

Almost surely, 2^1928448000 is an apocalyptic number.

1928448000 is a gapful number since it is divisible by the number (10) 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 1928448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720487680).

1928448000 is an abundant number, since it is smaller than the sum of its proper divisors (5512527360).

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

1928448000 is an frugal number, since it uses more digits than its factorization.

1928448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1928448000 is about 43914.0979640935. The cubic root of 1928448000 is about 1244.7132450338.

The spelling of 1928448000 in words is "one billion, nine hundred twenty-eight million, four hundred forty-eight thousand".