28326293858304 has 864 divisors, whose sum is σ = 94458030750720. Its totient is φ = 8433016012800.

The previous prime is 28326293858299. The next prime is 28326293858321. The reversal of 28326293858304 is 40385839262382.

28326293858304 is a `hidden beast` number, since 2 + 8 + 3 + 26 + 29 + 3 + 8 + 583 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5415079369 + ... + 5415084599.

It is an arithmetic number, because the mean of its divisors is an integer number (109326424480).

Almost surely, 2^{28326293858304} is an apocalyptic number.

28326293858304 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 28326293858304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47229015375360).

28326293858304 is an abundant number, since it is smaller than the sum of its proper divisors (66131736892416).

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

28326293858304 is an frugal number, since it uses more digits than its factorization.

28326293858304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 28326293858304 in words is "twenty-eight trillion, three hundred twenty-six billion, two hundred ninety-three million, eight hundred fifty-eight thousand, three hundred four".