28421859312000 has 3072 divisors, whose sum is σ = 133113325363200. Its totient is φ = 5854768128000.

The previous prime is 28421859311977. The next prime is 28421859312037. The reversal of 28421859312000 is 21395812482.

28421859312000 is a `hidden beast` number, since 2 + 8 + 42 + 1 + 8 + 593 + 12 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×28421859312000² (a number of 28 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41613263659 + ... + 41613264341.

It is an arithmetic number, because the mean of its divisors is an integer number (43331160600).

Almost surely, 2^{28421859312000} is an apocalyptic number.

28421859312000 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 28421859312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66556662681600).

28421859312000 is an abundant number, since it is smaller than the sum of its proper divisors (104691466051200).

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

28421859312000 is a wasteful number, since it uses less digits than its factorization.

28421859312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 28421859312000 in words is "twenty-eight trillion, four hundred twenty-one billion, eight hundred fifty-nine million, three hundred twelve thousand".