28673677704672 has 1536 divisors, whose sum is σ = 116175728148480. Its totient is φ = 6637842432000.

The previous prime is 28673677704647. The next prime is 28673677704673. The reversal of 28673677704672 is 27640777637682.

28673677704672 is a `hidden beast` number, since 2 + 8 + 67 + 36 + 7 + 7 + 70 + 467 + 2 = 666.

It is a super-2 number, since 2×28673677704672² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 28673677704672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28673677704673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15308956728 + ... + 15308958600.

It is an arithmetic number, because the mean of its divisors is an integer number (75635239680).

Almost surely, 2^{28673677704672} is an apocalyptic number.

28673677704672 is a gapful number since it is divisible by the number (22) 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 28673677704672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58087864074240).

28673677704672 is an abundant number, since it is smaller than the sum of its proper divisors (87502050443808).

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

28673677704672 is a wasteful number, since it uses less digits than its factorization.

28673677704672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 1394039808, while the sum is 72.

The spelling of 28673677704672 in words is "twenty-eight trillion, six hundred seventy-three billion, six hundred seventy-seven million, seven hundred four thousand, six hundred seventy-two".