1928228328 has 224 divisors, whose sum is σ = 6045820200. Its totient is φ = 572189184.

The previous prime is 1928228327. The next prime is 1928228329. The reversal of 1928228328 is 8238228291.

It is an interprime number because it is at equal distance from previous prime (1928228327) and next prime (1928228329).

It can be written as a sum of positive squares in 4 ways, for example, as 1653398244 + 274830084 = 40662^2 + 16578^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1928228327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2198226 + ... + 2199102.

Almost surely, 2^1928228328 is an apocalyptic number.

1928228328 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 1928228328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022910100).

1928228328 is an abundant number, since it is smaller than the sum of its proper divisors (4117591872).

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

1928228328 is a wasteful number, since it uses less digits than its factorization.

1928228328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 924 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 1928228328 is about 43911.5967370807. The cubic root of 1928228328 is about 1244.6659809418.

The spelling of 1928228328 in words is "one billion, nine hundred twenty-eight million, two hundred twenty-eight thousand, three hundred twenty-eight".