1012928000 has 480 divisors, whose sum is σ = 3274745760. Its totient is φ = 309657600.

The previous prime is 1012927991. The next prime is 1012928009. The reversal of 1012928000 is 8292101.

It is an interprime number because it is at equal distance from previous prime (1012927991) and next prime (1012928009).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012928009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53311991 + ... + 53312009.

It is an arithmetic number, because the mean of its divisors is an integer number (6822387).

Almost surely, 2^1012928000 is an apocalyptic number.

1012928000 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 1012928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637372880).

1012928000 is an abundant number, since it is smaller than the sum of its proper divisors (2261817760).

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

1012928000 is an equidigital number, since it uses as much as digits as its factorization.

1012928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 1012928000 is about 31826.5298139775. The cubic root of 1012928000 is about 1004.2908952172.

The spelling of 1012928000 in words is "one billion, twelve million, nine hundred twenty-eight thousand".