1238328000 has 1008 divisors, whose sum is σ = 5754831264. Its totient is φ = 261273600.

The previous prime is 1238327977. The next prime is 1238328011. The reversal of 1238328000 is 8238321.

1238328000 is a `hidden beast` number, since 1 + 2 + 383 + 280 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95255994 + ... + 95256006.

It is an arithmetic number, because the mean of its divisors is an integer number (5709158).

Almost surely, 2^1238328000 is an apocalyptic number.

1238328000 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 1238328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877415632).

1238328000 is an abundant number, since it is smaller than the sum of its proper divisors (4516503264).

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

1238328000 is an equidigital number, since it uses as much as digits as its factorization.

1238328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1238328000 is about 35189.8849102977. The cubic root of 1238328000 is about 1073.8539797111.

The spelling of 1238328000 in words is "one billion, two hundred thirty-eight million, three hundred twenty-eight thousand".