28033286400 has 648 divisors, whose sum is σ = 115414737984. Its totient is φ = 6359040000.

The previous prime is 28033286389. The next prime is 28033286401. The reversal of 28033286400 is 468233082.

28033286400 is a `hidden beast` number, since 2 + 8 + 0 + 3 + 3 + 2 + 8 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28033286401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101203062 + ... + 101203338.

Almost surely, 2^28033286400 is an apocalyptic number.

28033286400 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 28033286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57707368992).

28033286400 is an abundant number, since it is smaller than the sum of its proper divisors (87381451584).

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

28033286400 is a wasteful number, since it uses less digits than its factorization.

28033286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 28033286400 in words is "twenty-eight billion, thirty-three million, two hundred eighty-six thousand, four hundred".