28024399872000 has 1440 divisors, whose sum is σ = 120554836496640. Its totient is φ = 6404957798400.

The previous prime is 28024399871999. The next prime is 28024399872011. The reversal of 28024399872000 is 27899342082.

It is a happy number.

28024399872000 is a `hidden beast` number, since 28 + 0 + 24 + 399 + 8 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2709498829 + ... + 2709509171.

It is an arithmetic number, because the mean of its divisors is an integer number (83718636456).

Almost surely, 2^{28024399872000} is an apocalyptic number.

28024399872000 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 28024399872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60277418248320).

28024399872000 is an abundant number, since it is smaller than the sum of its proper divisors (92530436624640).

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

28024399872000 is an equidigital number, since it uses as much as digits as its factorization.

28024399872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10409 (or 10360 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 28024399872000 in words is "twenty-eight trillion, twenty-four billion, three hundred ninety-nine million, eight hundred seventy-two thousand".