1028059200 has 756 divisors, whose sum is σ = 4480998912. Its totient is φ = 222566400.

The previous prime is 1028059199. The next prime is 1028059223. The reversal of 1028059200 is 29508201.

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 107 ways as a sum of consecutive naturals, for example, 21873577 + ... + 21873623.

Almost surely, 2^1028059200 is an apocalyptic number.

1028059200 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 1028059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240499456).

1028059200 is an abundant number, since it is smaller than the sum of its proper divisors (3452939712).

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

1028059200 is a wasteful number, since it uses less digits than its factorization.

1028059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1028059200 is about 32063.3622691071. The cubic root of 1028059200 is about 1009.2669254901.

The spelling of 1028059200 in words is "one billion, twenty-eight million, fifty-nine thousand, two hundred".