28433737728000 has 2880 divisors, whose sum is σ = 120633351471360. Its totient is φ = 6423183360000.

The previous prime is 28433737727947. The next prime is 28433737728013. The reversal of 28433737728000 is 82773733482.

It is a happy number.

28433737728000 is a `hidden beast` number, since 28 + 4 + 337 + 3 + 7 + 7 + 280 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 191 ways as a sum of consecutive naturals, for example, 466126847970 + ... + 466126848030.

It is an arithmetic number, because the mean of its divisors is an integer number (41886580372).

Almost surely, 2^{28433737728000} is an apocalyptic number.

28433737728000 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 28433737728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60316675735680).

28433737728000 is an abundant number, since it is smaller than the sum of its proper divisors (92199613743360).

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

28433737728000 is an equidigital number, since it uses as much as digits as its factorization.

28433737728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 28433737728000 in words is "twenty-eight trillion, four hundred thirty-three billion, seven hundred thirty-seven million, seven hundred twenty-eight thousand".