28677343680 has 560 divisors, whose sum is σ = 106637145120. Its totient is φ = 7336562688.

The previous prime is 28677343661. The next prime is 28677343699. The reversal of 28677343680 is 8634377682.

28677343680 is a `hidden beast` number, since 2 + 8 + 67 + 73 + 436 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (28677343661) and next prime (28677343699).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 182658162 + ... + 182658318.

Almost surely, 2^28677343680 is an apocalyptic number.

28677343680 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 28677343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53318572560).

28677343680 is an abundant number, since it is smaller than the sum of its proper divisors (77959801440).

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

28677343680 is an frugal number, since it uses more digits than its factorization.

28677343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 28677343680 in words is "twenty-eight billion, six hundred seventy-seven million, three hundred forty-three thousand, six hundred eighty".