28252348185600 has 1188 divisors, whose sum is σ = 128370197529288. Its totient is φ = 5870592000000.

The previous prime is 28252348185587. The next prime is 28252348185623. The reversal of 28252348185600 is 658184325282.

28252348185600 is a `hidden beast` number, since 2 + 8 + 2 + 5 + 23 + 4 + 8 + 1 + 8 + 5 + 600 = 666.

It is a super-2 number, since 2×28252348185600² (a number of 28 digits) contains 22 as substring.

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, 124071850 + ... + 124299350.

It is an arithmetic number, because the mean of its divisors is an integer number (108055721826).

Almost surely, 2^{28252348185600} is an apocalyptic number.

28252348185600 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 28252348185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64185098764644).

28252348185600 is an abundant number, since it is smaller than the sum of its proper divisors (100117849343688).

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

28252348185600 is a wasteful number, since it uses less digits than its factorization.

28252348185600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227562 (or 227529 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 28252348185600 in words is "twenty-eight trillion, two hundred fifty-two billion, three hundred forty-eight million, one hundred eighty-five thousand, six hundred".