1028751200 has 144 divisors (see below), whose sum is σ = 2695608720. Its totient is φ = 382187520.

The previous prime is 1028751197. The next prime is 1028751223. The reversal of 1028751200 is 21578201.

It is a self number, because there is not a number n which added to its sum of digits gives 1028751200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 804962 + ... + 806238.

It is an arithmetic number, because the mean of its divisors is an integer number (18719505).

Almost surely, 2^1028751200 is an apocalyptic number.

1028751200 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 1028751200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347804360).

1028751200 is an abundant number, since it is smaller than the sum of its proper divisors (1666857520).

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

1028751200 is a wasteful number, since it uses less digits than its factorization.

1028751200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 1028751200 is about 32074.1515865970. The cubic root of 1028751200 is about 1009.4933249255.

The spelling of 1028751200 in words is "one billion, twenty-eight million, seven hundred fifty-one thousand, two hundred".