28149928012800 has 3168 divisors, whose sum is σ = 125228906979840. Its totient is φ = 6132518092800.

The previous prime is 28149928012799. The next prime is 28149928012831. The reversal of 28149928012800 is 821082994182.

28149928012800 is a `hidden beast` number, since 2 + 8 + 1 + 499 + 28 + 0 + 128 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 50538470122 + ... + 50538470678.

Almost surely, 2^{28149928012800} is an apocalyptic number.

28149928012800 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 28149928012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62614453489920).

28149928012800 is an abundant number, since it is smaller than the sum of its proper divisors (97078978967040).

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

28149928012800 is a wasteful number, since it uses less digits than its factorization.

28149928012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 618 counting only the distinct ones).

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

The spelling of 28149928012800 in words is "twenty-eight trillion, one hundred forty-nine billion, nine hundred twenty-eight million, twelve thousand, eight hundred".