1028544000 has 320 divisors, whose sum is σ = 3738189312. Its totient is φ = 248832000.

The previous prime is 1028543981. The next prime is 1028544031. The reversal of 1028544000 is 4458201.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111757 + ... + 2112243.

Almost surely, 2^1028544000 is an apocalyptic number.

1028544000 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 1028544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869094656).

1028544000 is an abundant number, since it is smaller than the sum of its proper divisors (2709645312).

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

1028544000 is an equidigital number, since it uses as much as digits as its factorization.

1028544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1028544000 is about 32070.9214086530. The cubic root of 1028544000 is about 1009.4255466129.

It can be divided in two parts, 10285 and 44000, that added together give a triangular number (54285 = T₃₂₉).

The spelling of 1028544000 in words is "one billion, twenty-eight million, five hundred forty-four thousand".