1011028000 has 192 divisors, whose sum is σ = 2674788480. Its totient is φ = 374400000.

The previous prime is 1011027989. The next prime is 1011028003. The reversal of 1011028000 is 8201101.

It is not an unprimeable number, because it can be changed into a prime (1011028003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4027875 + ... + 4028125.

It is an arithmetic number, because the mean of its divisors is an integer number (13931190).

Almost surely, 2^1011028000 is an apocalyptic number.

1011028000 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 1011028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337394240).

1011028000 is an abundant number, since it is smaller than the sum of its proper divisors (1663760480).

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

1011028000 is a wasteful number, since it uses less digits than its factorization.

1011028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 1011028000 is about 31796.6664919453. Note that the first 3 decimals coincide. The cubic root of 1011028000 is about 1003.6625692097.

Adding to 1011028000 its reverse (8201101), we get a palindrome (1019229101).

The spelling of 1011028000 in words is "one billion, eleven million, twenty-eight thousand".