28614617766 has 160 divisors (see below), whose sum is σ = 79624427520. Its totient is φ = 7495286400.

The previous prime is 28614617743. The next prime is 28614617767. The reversal of 28614617766 is 66771641682.

28614617766 is a `hidden beast` number, since 2 + 8 + 6 + 14 + 617 + 7 + 6 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28614617767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 646506 + ... + 689346.

It is an arithmetic number, because the mean of its divisors is an integer number (497652672).

Almost surely, 2^28614617766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28614617766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39812213760).

28614617766 is an abundant number, since it is smaller than the sum of its proper divisors (51009809754).

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

28614617766 is a wasteful number, since it uses less digits than its factorization.

28614617766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42912 (or 42903 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 28614617766 in words is "twenty-eight billion, six hundred fourteen million, six hundred seventeen thousand, seven hundred sixty-six".