1028896000 has 288 divisors, whose sum is σ = 2908039680. Its totient is φ = 359424000.

The previous prime is 1028895997. The next prime is 1028896021. The reversal of 1028896000 is 6988201.

It is a congruent number.

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, 13023961 + ... + 13024039.

It is an arithmetic number, because the mean of its divisors is an integer number (10097360).

Almost surely, 2^1028896000 is an apocalyptic number.

1028896000 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 1028896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454019840).

1028896000 is an abundant number, since it is smaller than the sum of its proper divisors (1879143680).

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

1028896000 is an equidigital number, since it uses as much as digits as its factorization.

1028896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 1028896000 is about 32076.4087765448. The cubic root of 1028896000 is about 1009.5406858345.

The spelling of 1028896000 in words is "one billion, twenty-eight million, eight hundred ninety-six thousand".