28274552323200 has 2304 divisors, whose sum is σ = 113248345392000. Its totient is φ = 6944204390400.

The previous prime is 28274552323183. The next prime is 28274552323253. The reversal of 28274552323200 is 232325547282.

28274552323200 is a `hidden beast` number, since 2 + 8 + 2 + 74 + 5 + 52 + 323 + 200 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 123469660686 + ... + 123469660914.

Almost surely, 2^{28274552323200} is an apocalyptic number.

28274552323200 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 28274552323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56624172696000).

28274552323200 is an abundant number, since it is smaller than the sum of its proper divisors (84973793068800).

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

28274552323200 is a wasteful number, since it uses less digits than its factorization.

28274552323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 28274552323200 in words is "twenty-eight trillion, two hundred seventy-four billion, five hundred fifty-two million, three hundred twenty-three thousand, two hundred".