1248887328 has 192 divisors, whose sum is σ = 3838464000. Its totient is φ = 352097280.

The previous prime is 1248887317. The next prime is 1248887333. The reversal of 1248887328 is 8237888421.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734223 + ... + 735921.

It is an arithmetic number, because the mean of its divisors is an integer number (19992000).

Almost surely, 2^1248887328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1248887328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919232000).

1248887328 is an abundant number, since it is smaller than the sum of its proper divisors (2589576672).

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

1248887328 is a wasteful number, since it uses less digits than its factorization.

1248887328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1767 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 51.

The square root of 1248887328 is about 35339.5999977363. The cubic root of 1248887328 is about 1076.8976262452.

The spelling of 1248887328 in words is "one billion, two hundred forty-eight million, eight hundred eighty-seven thousand, three hundred twenty-eight".