28138243127400 has 1152 divisors, whose sum is σ = 120702845952000. Its totient is φ = 5718746603520.

The previous prime is 28138243127377. The next prime is 28138243127429. The reversal of 28138243127400 is 472134283182.

28138243127400 is a `hidden beast` number, since 2 + 8 + 1 + 3 + 82 + 43 + 127 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1493607181 + ... + 1493626019.

It is an arithmetic number, because the mean of its divisors is an integer number (104776776000).

Almost surely, 2^{28138243127400} is an apocalyptic number.

28138243127400 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 28138243127400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60351422976000).

28138243127400 is an abundant number, since it is smaller than the sum of its proper divisors (92564602824600).

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

28138243127400 is a wasteful number, since it uses less digits than its factorization.

28138243127400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19271 (or 19259 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 28138243127400 in words is "twenty-eight trillion, one hundred thirty-eight billion, two hundred forty-three million, one hundred twenty-seven thousand, four hundred".