28600751868480 has 672 divisors, whose sum is σ = 117150124815360. Its totient is φ = 6568589998080.

The previous prime is 28600751868443. The next prime is 28600751868503. The reversal of 28600751868480 is 8486815700682.

28600751868480 is a `hidden beast` number, since 2 + 8 + 6 + 0 + 0 + 75 + 1 + 86 + 8 + 480 = 666.

It is a super-2 number, since 2×28600751868480² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15371917 + ... + 17131763.

It is an arithmetic number, because the mean of its divisors is an integer number (174330542880).

Almost surely, 2^{28600751868480} is an apocalyptic number.

28600751868480 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 28600751868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58575062407680).

28600751868480 is an abundant number, since it is smaller than the sum of its proper divisors (88549372946880).

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

28600751868480 is a wasteful number, since it uses less digits than its factorization.

28600751868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759909 (or 1759887 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 28600751868480 in words is "twenty-eight trillion, six hundred billion, seven hundred fifty-one million, eight hundred sixty-eight thousand, four hundred eighty".