28842532653600 has 432 divisors, whose sum is σ = 107090911680480. Its totient is φ = 7284357734400.

The previous prime is 28842532653593. The next prime is 28842532653607. The reversal of 28842532653600 is 635623524882.

28842532653600 is a `hidden beast` number, since 2 + 8 + 8 + 4 + 2 + 5 + 3 + 26 + 5 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (28842532653593) and next prime (28842532653607).

It is not an unprimeable number, because it can be changed into a prime (28842532653607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 485199880 + ... + 485259320.

It is an arithmetic number, because the mean of its divisors is an integer number (247895628890).

Almost surely, 2^{28842532653600} is an apocalyptic number.

28842532653600 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 28842532653600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53545455840240).

28842532653600 is an abundant number, since it is smaller than the sum of its proper divisors (78248379026880).

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

28842532653600 is a wasteful number, since it uses less digits than its factorization.

28842532653600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63033 (or 63017 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 28842532653600 in words is "twenty-eight trillion, eight hundred forty-two billion, five hundred thirty-two million, six hundred fifty-three thousand, six hundred".