28458503160192 has 384 divisors, whose sum is σ = 93826349348160. Its totient is φ = 8110601404416.

The previous prime is 28458503160179. The next prime is 28458503160193. The reversal of 28458503160192 is 29106130585482.

28458503160192 is a `hidden beast` number, since 2 + 8 + 45 + 8 + 503 + 1 + 6 + 0 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×28458503160192³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28458503160193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6305892528 + ... + 6305897040.

Almost surely, 2^{28458503160192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28458503160192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46913174674080).

28458503160192 is an abundant number, since it is smaller than the sum of its proper divisors (65367846187968).

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

28458503160192 is a wasteful number, since it uses less digits than its factorization.

28458503160192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330 (or 6315 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 28458503160192 in words is "twenty-eight trillion, four hundred fifty-eight billion, five hundred three million, one hundred sixty thousand, one hundred ninety-two".