28791417600 has 1296 divisors, whose sum is σ = 124388601120. Its totient is φ = 6569164800.

The previous prime is 28791417581. The next prime is 28791417601. The reversal of 28791417600 is 671419782.

It is a happy number.

28791417600 is a `hidden beast` number, since 28 + 7 + 9 + 1 + 4 + 17 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28791417601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1693612792 + ... + 1693612808.

Almost surely, 2^28791417600 is an apocalyptic number.

28791417600 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 28791417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62194300560).

28791417600 is an abundant number, since it is smaller than the sum of its proper divisors (95597183520).

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

28791417600 is an equidigital number, since it uses as much as digits as its factorization.

28791417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 28791417600 in words is "twenty-eight billion, seven hundred ninety-one million, four hundred seventeen thousand, six hundred".