1228328000 has 112 divisors (see below), whose sum is σ = 3100419504. Its totient is φ = 481894400.

The previous prime is 1228327957. The next prime is 1228328011. The reversal of 1228328000 is 8238221.

It can be written as a sum of positive squares in 8 ways, for example, as 524593216 + 703734784 = 22904^2 + 26528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422552 + ... + 425448.

It is an arithmetic number, because the mean of its divisors is an integer number (27682317).

Almost surely, 2^1228328000 is an apocalyptic number.

1228328000 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 1228328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550209752).

1228328000 is an abundant number, since it is smaller than the sum of its proper divisors (1872091504).

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

1228328000 is an equidigital number, since it uses as much as digits as its factorization.

1228328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 1228328000 is about 35047.5106105983. The cubic root of 1228328000 is about 1070.9555617905.

The spelling of 1228328000 in words is "one billion, two hundred twenty-eight million, three hundred twenty-eight thousand".