28506598456800 has 288 divisors, whose sum is σ = 97791704680320. Its totient is φ = 7192885708800.

The previous prime is 28506598456783. The next prime is 28506598456813. The reversal of 28506598456800 is 865489560582.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37056879 + ... + 37818321.

It is an arithmetic number, because the mean of its divisors is an integer number (339554530140).

Almost surely, 2^{28506598456800} is an apocalyptic number.

28506598456800 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 28506598456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48895852340160).

28506598456800 is an abundant number, since it is smaller than the sum of its proper divisors (69285106223520).

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

28506598456800 is a wasteful number, since it uses less digits than its factorization.

28506598456800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762306 (or 762293 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 66.

The spelling of 28506598456800 in words is "twenty-eight trillion, five hundred six billion, five hundred ninety-eight million, four hundred fifty-six thousand, eight hundred".