28542918868992 has 600 divisors, whose sum is σ = 93167001430272. Its totient is φ = 8636261990400.

The previous prime is 28542918868957. The next prime is 28542918869071. The reversal of 28542918868992 is 29986881924582.

28542918868992 is a `hidden beast` number, since 2 + 8 + 5 + 429 + 188 + 6 + 8 + 9 + 9 + 2 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 14466759718 + ... + 14466761690.

Almost surely, 2^{28542918868992} is an apocalyptic number.

28542918868992 is a gapful number since it is divisible by the number (22) 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 28542918868992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46583500715136).

28542918868992 is an abundant number, since it is smaller than the sum of its proper divisors (64624082561280).

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

28542918868992 is an equidigital number, since it uses as much as digits as its factorization.

28542918868992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3015 (or 2980 counting only the distinct ones).

The product of its digits is 2866544640, while the sum is 81.

The spelling of 28542918868992 in words is "twenty-eight trillion, five hundred forty-two billion, nine hundred eighteen million, eight hundred sixty-eight thousand, nine hundred ninety-two".