28041062400 has 864 divisors, whose sum is σ = 112377807360. Its totient is φ = 6635520000.

The previous prime is 28041062393. The next prime is 28041062521. The reversal of 28041062400 is 426014082.

28041062400 is a `hidden beast` number, since 2 + 8 + 0 + 410 + 6 + 240 + 0 = 666.

It is an unprimeable number.

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, 185702325 + ... + 185702475.

Almost surely, 2^28041062400 is an apocalyptic number.

28041062400 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 28041062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56188903680).

28041062400 is an abundant number, since it is smaller than the sum of its proper divisors (84336744960).

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

28041062400 is a wasteful number, since it uses less digits than its factorization.

28041062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 28041062400 its reverse (426014082), we get a palindrome (28467076482).

The spelling of 28041062400 in words is "twenty-eight billion, forty-one million, sixty-two thousand, four hundred".