28598296752000 has 1280 divisors, whose sum is σ = 108238668595200. Its totient is φ = 7512922368000.

The previous prime is 28598296751957. The next prime is 28598296752017. The reversal of 28598296752000 is 25769289582.

28598296752000 is a `hidden beast` number, since 2 + 85 + 9 + 8 + 29 + 6 + 7 + 520 + 0 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 22359887361 + ... + 22359888639.

It is an arithmetic number, because the mean of its divisors is an integer number (84561459840).

Almost surely, 2^{28598296752000} is an apocalyptic number.

28598296752000 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 28598296752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54119334297600).

28598296752000 is an abundant number, since it is smaller than the sum of its proper divisors (79640371843200).

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

28598296752000 is an frugal number, since it uses more digits than its factorization.

28598296752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 28598296752000 in words is "twenty-eight trillion, five hundred ninety-eight billion, two hundred ninety-six million, seven hundred fifty-two thousand".