28116418809600 has 3888 divisors, whose sum is σ = 124395499178496. Its totient is φ = 6278661734400.

The previous prime is 28116418809599. The next prime is 28116418809623. The reversal of 28116418809600 is 690881461182.

It is a happy number.

28116418809600 is a `hidden beast` number, since 2 + 8 + 1 + 16 + 4 + 18 + 8 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 598221676777 + ... + 598221676823.

Almost surely, 2^{28116418809600} is an apocalyptic number.

28116418809600 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 28116418809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62197749589248).

28116418809600 is an abundant number, since it is smaller than the sum of its proper divisors (96279080368896).

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

28116418809600 is an equidigital number, since it uses as much as digits as its factorization.

28116418809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 28116418809600 in words is "twenty-eight trillion, one hundred sixteen billion, four hundred eighteen million, eight hundred nine thousand, six hundred".