28613069156160 has 280 divisors, whose sum is σ = 101787880508160. Its totient is φ = 7629690018816.

The previous prime is 28613069156143. The next prime is 28613069156167. The reversal of 28613069156160 is 6165196031682.

28613069156160 is a `hidden beast` number, since 2 + 8 + 6 + 1 + 3 + 0 + 6 + 9 + 15 + 616 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 28613069156097 and 28613069156106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28613069156167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 776518857 + ... + 776555703.

It is an arithmetic number, because the mean of its divisors is an integer number (363528144672).

Almost surely, 2^{28613069156160} is an apocalyptic number.

28613069156160 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 28613069156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50893940254080).

28613069156160 is an abundant number, since it is smaller than the sum of its proper divisors (73174811352000).

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

28613069156160 is a wasteful number, since it uses less digits than its factorization.

28613069156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66835 (or 66816 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 28613069156160 in words is "twenty-eight trillion, six hundred thirteen billion, sixty-nine million, one hundred fifty-six thousand, one hundred sixty".