1248928000 has 144 divisors (see below), whose sum is σ = 3214149120. Its totient is φ = 483072000.

The previous prime is 1248927997. The next prime is 1248928027. The reversal of 1248928000 is 8298421.

It is a super-2 number, since 2×1248928000² = 3119642298368000000, which contains 22 as substring.

It is a congruent number.

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, 991371 + ... + 992629.

It is an arithmetic number, because the mean of its divisors is an integer number (22320480).

Almost surely, 2^1248928000 is an apocalyptic number.

1248928000 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 1248928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607074560).

1248928000 is an abundant number, since it is smaller than the sum of its proper divisors (1965221120).

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

1248928000 is an equidigital number, since it uses as much as digits as its factorization.

1248928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 1248928000 is about 35340.1754381610. The cubic root of 1248928000 is about 1076.9093164123.

The spelling of 1248928000 in words is "one billion, two hundred forty-eight million, nine hundred twenty-eight thousand".