28124833996800 has 840 divisors, whose sum is σ = 104631219430056. Its totient is φ = 7498880778240.

The previous prime is 28124833996799. The next prime is 28124833996807. The reversal of 28124833996800 is 869933842182.

28124833996800 is a `hidden beast` number, since 2 + 8 + 1 + 2 + 483 + 3 + 99 + 68 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28124833996807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4031074912 + ... + 4031081888.

Almost surely, 2^{28124833996800} is an apocalyptic number.

28124833996800 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 28124833996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52315609715028).

28124833996800 is an abundant number, since it is smaller than the sum of its proper divisors (76506385433256).

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

28124833996800 is an frugal number, since it uses more digits than its factorization.

28124833996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7040 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 28124833996800 in words is "twenty-eight trillion, one hundred twenty-four billion, eight hundred thirty-three million, nine hundred ninety-six thousand, eight hundred".