1028648000 has 112 divisors (see below), whose sum is σ = 2584752768. Its totient is φ = 405440000.

The previous prime is 1028647993. The next prime is 1028648029. The reversal of 1028648000 is 8468201.

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, 567095 + ... + 568905.

Almost surely, 2^1028648000 is an apocalyptic number.

1028648000 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 1028648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292376384).

1028648000 is an abundant number, since it is smaller than the sum of its proper divisors (1556104768).

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

1028648000 is an equidigital number, since it uses as much as digits as its factorization.

1028648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 1028648000 is about 32072.5427741550. The cubic root of 1028648000 is about 1009.4595677531.

The spelling of 1028648000 in words is "one billion, twenty-eight million, six hundred forty-eight thousand".