28243432800 has 648 divisors, whose sum is σ = 115970655528. Its totient is φ = 6440755200.

The previous prime is 28243432781. The next prime is 28243432813. The reversal of 28243432800 is 823434282.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14809447 + ... + 14811353.

It is an arithmetic number, because the mean of its divisors is an integer number (178967061).

Almost surely, 2^28243432800 is an apocalyptic number.

28243432800 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 28243432800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57985327764).

28243432800 is an abundant number, since it is smaller than the sum of its proper divisors (87727222728).

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

28243432800 is a wasteful number, since it uses less digits than its factorization.

28243432800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 28243432800 in words is "twenty-eight billion, two hundred forty-three million, four hundred thirty-two thousand, eight hundred".