28669761918000 has 600 divisors, whose sum is σ = 120464651983104. Its totient is φ = 6553086624000.

The previous prime is 28669761917981. The next prime is 28669761918001. The reversal of 28669761918000 is 81916796682.

28669761918000 is a `hidden beast` number, since 2 + 8 + 6 + 6 + 9 + 7 + 619 + 1 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (28669761918001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6132145 + ... + 9743855.

Almost surely, 2^{28669761918000} is an apocalyptic number.

28669761918000 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 28669761918000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60232325991552).

28669761918000 is an abundant number, since it is smaller than the sum of its proper divisors (91794890065104).

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

28669761918000 is a wasteful number, since it uses less digits than its factorization.

28669761918000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611760 (or 3611728 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 28669761918000 in words is "twenty-eight trillion, six hundred sixty-nine billion, seven hundred sixty-one million, nine hundred eighteen thousand".