1025328000 has 256 divisors, whose sum is σ = 3488546880. Its totient is φ = 266240000.

The previous prime is 1025327999. The next prime is 1025328043. The reversal of 1025328000 is 8235201.

It is a plaindrome in base 13.

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, 1967740 + ... + 1968260.

Almost surely, 2^1025328000 is an apocalyptic number.

1025328000 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 1025328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744273440).

1025328000 is an abundant number, since it is smaller than the sum of its proper divisors (2463218880).

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

1025328000 is an equidigital number, since it uses as much as digits as its factorization.

1025328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1025328000 is about 32020.7432768198. The cubic root of 1025328000 is about 1008.3723743886.

The spelling of 1025328000 in words is "one billion, twenty-five million, three hundred twenty-eight thousand".