28301992898400 has 1728 divisors, whose sum is σ = 120703649472000. Its totient is φ = 6371940556800.

The previous prime is 28301992898383. The next prime is 28301992898401. The reversal of 28301992898400 is 489829910382.

It is a happy number.

28301992898400 is a `hidden beast` number, since 2 + 8 + 30 + 1 + 99 + 28 + 98 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28301992898401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2011363365 + ... + 2011377435.

It is an arithmetic number, because the mean of its divisors is an integer number (69851649000).

Almost surely, 2^{28301992898400} is an apocalyptic number.

28301992898400 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 28301992898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60351824736000).

28301992898400 is an abundant number, since it is smaller than the sum of its proper divisors (92401656573600).

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

28301992898400 is a wasteful number, since it uses less digits than its factorization.

28301992898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14174 (or 14142 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 28301992898400 in words is "twenty-eight trillion, three hundred one billion, nine hundred ninety-two million, eight hundred ninety-eight thousand, four hundred".