28808567682048 has 880 divisors, whose sum is σ = 107689013042688. Its totient is φ = 7452518400000.

The previous prime is 28808567682019. The next prime is 28808567682067. The reversal of 28808567682048 is 84028676580882.

It is a happy number.

28808567682048 is a `hidden beast` number, since 288 + 0 + 85 + 6 + 7 + 68 + 204 + 8 = 666.

It is a super-2 number, since 2×28808567682048² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1603049703 + ... + 1603067673.

Almost surely, 2^{28808567682048} is an apocalyptic number.

28808567682048 is a gapful number since it is divisible by the number (28) 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 28808567682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53844506521344).

28808567682048 is an abundant number, since it is smaller than the sum of its proper divisors (78880445360640).

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

28808567682048 is a wasteful number, since it uses less digits than its factorization.

28808567682048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18272 (or 18245 counting only the distinct ones).

The product of its (nonzero) digits is 660602880, while the sum is 72.

The spelling of 28808567682048 in words is "twenty-eight trillion, eight hundred eight billion, five hundred sixty-seven million, six hundred eighty-two thousand, forty-eight".