28129462634880 has 2560 divisors, whose sum is σ = 116086995763200. Its totient is φ = 6448876093440.

The previous prime is 28129462634879. The next prime is 28129462634887. The reversal of 28129462634880 is 8843626492182.

28129462634880 is a `hidden beast` number, since 2 + 8 + 1 + 2 + 94 + 6 + 2 + 63 + 488 + 0 = 666.

It is a super-2 number, since 2×28129462634880² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28129462634887) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 55923384709 + ... + 55923385211.

It is an arithmetic number, because the mean of its divisors is an integer number (45346482720).

Almost surely, 2^{28129462634880} is an apocalyptic number.

28129462634880 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 28129462634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58043497881600).

28129462634880 is an abundant number, since it is smaller than the sum of its proper divisors (87957533128320).

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

28129462634880 is a wasteful number, since it uses less digits than its factorization.

28129462634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 28129462634880 in words is "twenty-eight trillion, one hundred twenty-nine billion, four hundred sixty-two million, six hundred thirty-four thousand, eight hundred eighty".