28089284198400 has 1920 divisors, whose sum is σ = 113327776033560. Its totient is φ = 6849130659840.

The previous prime is 28089284198341. The next prime is 28089284198407. The reversal of 28089284198400 is 489148298082.

28089284198400 is a `hidden beast` number, since 2 + 8 + 0 + 89 + 28 + 41 + 98 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7372658589696 + 20716625608704 = 2715264^2 + 4551552^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (28089284198407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41737420464 + ... + 41737421136.

Almost surely, 2^{28089284198400} is an apocalyptic number.

28089284198400 is a gapful number since it is divisible by the number (20) 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 28089284198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56663888016780).

28089284198400 is an abundant number, since it is smaller than the sum of its proper divisors (85238491835160).

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

28089284198400 is an equidigital number, since it uses as much as digits as its factorization.

28089284198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 28089284198400 in words is "twenty-eight trillion, eighty-nine billion, two hundred eighty-four million, one hundred ninety-eight thousand, four hundred".