28200254577264 has 960 divisors, whose sum is σ = 104208330240000. Its totient is φ = 7292985638400.

The previous prime is 28200254577233. The next prime is 28200254577289. The reversal of 28200254577264 is 46277545200282.

28200254577264 is a `hidden beast` number, since 2 + 8 + 2 + 0 + 0 + 2 + 5 + 4 + 577 + 2 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28200254577264.

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, 4285098454 + ... + 4285105034.

It is an arithmetic number, because the mean of its divisors is an integer number (108550344000).

Almost surely, 2^{28200254577264} is an apocalyptic number.

28200254577264 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 28200254577264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52104165120000).

28200254577264 is an abundant number, since it is smaller than the sum of its proper divisors (76008075662736).

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

28200254577264 is a wasteful number, since it uses less digits than its factorization.

28200254577264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6880 (or 6843 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 28200254577264 in words is "twenty-eight trillion, two hundred billion, two hundred fifty-four million, five hundred seventy-seven thousand, two hundred sixty-four".