28974848128800 has 1728 divisors, whose sum is σ = 117448962785280. Its totient is φ = 6171934433280.

The previous prime is 28974848128771. The next prime is 28974848128817. The reversal of 28974848128800 is 882184847982.

It is a super-2 number, since 2×28974848128800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 40298814841 + ... + 40298815559.

It is an arithmetic number, because the mean of its divisors is an integer number (67968149760).

Almost surely, 2^{28974848128800} is an apocalyptic number.

28974848128800 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 28974848128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58724481392640).

28974848128800 is an abundant number, since it is smaller than the sum of its proper divisors (88474114656480).

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

28974848128800 is a wasteful number, since it uses less digits than its factorization.

28974848128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 132120576, while the sum is 69.

The spelling of 28974848128800 in words is "twenty-eight trillion, nine hundred seventy-four billion, eight hundred forty-eight million, one hundred twenty-eight thousand, eight hundred".