1028800650600 has 240 divisors, whose sum is σ = 3599266423500. Its totient is φ = 272343720960.

The previous prime is 1028800650599. The next prime is 1028800650613. The reversal of 1028800650600 is 60560088201.

It is a happy number.

1028800650600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 482321916036 + 546478734564 = 694494^2 + 739242^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1987626 + ... + 2451174.

Almost surely, 2^{1028800650600} is an apocalyptic number.

1028800650600 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 1028800650600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799633211750).

1028800650600 is an abundant number, since it is smaller than the sum of its proper divisors (2570465772900).

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

1028800650600 is a wasteful number, since it uses less digits than its factorization.

1028800650600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463714 (or 463696 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1028800650600 in words is "one trillion, twenty-eight billion, eight hundred million, six hundred fifty thousand, six hundred".