1928000000 has 140 divisors (see below), whose sum is σ = 4835211546. Its totient is φ = 768000000.

The previous prime is 1927999993. The next prime is 1928000003. The reversal of 1928000000 is 8291.

It can be written as a sum of positive squares in 7 ways, for example, as 774174976 + 1153825024 = 27824^2 + 33968^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1928000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7999880 + ... + 8000120.

Almost surely, 2^1928000000 is an apocalyptic number.

1928000000 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 1928000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417605773).

1928000000 is an abundant number, since it is smaller than the sum of its proper divisors (2907211546).

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

1928000000 is an frugal number, since it uses more digits than its factorization.

1928000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1928000000 is about 43908.9968002003. The cubic root of 1928000000 is about 1244.6168506412.

Adding to 1928000000 its reverse (8291), we get a palindrome (1928008291).

The spelling of 1928000000 in words is "one billion, nine hundred twenty-eight million", and thus it is an aban number.