1148928000 has 480 divisors, whose sum is σ = 4416467328. Its totient is φ = 262144000.

The previous prime is 1148927971. The next prime is 1148928007. The reversal of 1148928000 is 8298411.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148928007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67583992 + ... + 67584008.

Almost surely, 2^1148928000 is an apocalyptic number.

1148928000 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 1148928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208233664).

1148928000 is an abundant number, since it is smaller than the sum of its proper divisors (3267539328).

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

1148928000 is an equidigital number, since it uses as much as digits as its factorization.

1148928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 1148928000 is about 33895.8404527753. The cubic root of 1148928000 is about 1047.3639090082.

The spelling of 1148928000 in words is "one billion, one hundred forty-eight million, nine hundred twenty-eight thousand".