1028561839200 has 864 divisors, whose sum is σ = 4397441420736. Its totient is φ = 220841902080.

The previous prime is 1028561839189. The next prime is 1028561839259. The reversal of 1028561839200 is 29381658201.

1028561839200 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 5 + 618 + 3 + 9 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 662305624 + ... + 662307176.

It is an arithmetic number, because the mean of its divisors is an integer number (5089631274).

Almost surely, 2^{1028561839200} is an apocalyptic number.

1028561839200 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 1028561839200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198720710368).

1028561839200 is an abundant number, since it is smaller than the sum of its proper divisors (3368879581536).

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

1028561839200 is a wasteful number, since it uses less digits than its factorization.

1028561839200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1028561839200 in words is "one trillion, twenty-eight billion, five hundred sixty-one million, eight hundred thirty-nine thousand, two hundred".