28689229798560 has 864 divisors, whose sum is σ = 105190009718976. Its totient is φ = 7114344652800.

The previous prime is 28689229798543. The next prime is 28689229798589. The reversal of 28689229798560 is 6589792298682.

28689229798560 is a `hidden beast` number, since 28 + 6 + 8 + 9 + 2 + 29 + 7 + 9 + 8 + 560 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28689229798560.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3801404707 + ... + 3801412253.

It is an arithmetic number, because the mean of its divisors is an integer number (121747696434).

Almost surely, 2^{28689229798560} is an apocalyptic number.

28689229798560 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 28689229798560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52595004859488).

28689229798560 is an abundant number, since it is smaller than the sum of its proper divisors (76500779920416).

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

28689229798560 is a wasteful number, since it uses less digits than its factorization.

28689229798560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7738 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 81.

The spelling of 28689229798560 in words is "twenty-eight trillion, six hundred eighty-nine billion, two hundred twenty-nine million, seven hundred ninety-eight thousand, five hundred sixty".