28133739146304 has 448 divisors, whose sum is σ = 92375928633600. Its totient is φ = 8324359372800.

The previous prime is 28133739146273. The next prime is 28133739146309. The reversal of 28133739146304 is 40364193733182.

28133739146304 is a `hidden beast` number, since 2 + 81 + 33 + 73 + 9 + 1 + 463 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28133739146309) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 158761302 + ... + 158938410.

Almost surely, 2^{28133739146304} is an apocalyptic number.

28133739146304 is a gapful number since it is divisible by the number (24) 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 28133739146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46187964316800).

28133739146304 is an abundant number, since it is smaller than the sum of its proper divisors (64242189487296).

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

28133739146304 is a wasteful number, since it uses less digits than its factorization.

28133739146304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177339 (or 177323 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 28133739146304 in words is "twenty-eight trillion, one hundred thirty-three billion, seven hundred thirty-nine million, one hundred forty-six thousand, three hundred four".