28748216304000 has 2048 divisors, whose sum is σ = 117050199552000. Its totient is φ = 6902732390400.

The previous prime is 28748216303957. The next prime is 28748216304047. The reversal of 28748216304000 is 40361284782.

It is a happy number.

28748216304000 is a `hidden beast` number, since 2 + 8 + 7 + 4 + 8 + 2 + 1 + 630 + 4 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37190447614 + ... + 37190448386.

It is an arithmetic number, because the mean of its divisors is an integer number (57153417750).

Almost surely, 2^{28748216304000} is an apocalyptic number.

28748216304000 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 28748216304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58525099776000).

28748216304000 is an abundant number, since it is smaller than the sum of its proper divisors (88301983248000).

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

28748216304000 is a wasteful number, since it uses less digits than its factorization.

28748216304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

Adding to 28748216304000 its reverse (40361284782), we get a palindrome (28788577588782).

The spelling of 28748216304000 in words is "twenty-eight trillion, seven hundred forty-eight billion, two hundred sixteen million, three hundred four thousand".