28607628905856 has 1920 divisors, whose sum is σ = 116768748096000. Its totient is φ = 6834290319360.

The previous prime is 28607628905819. The next prime is 28607628905873. The reversal of 28607628905856 is 65850982670682.

28607628905856 is a `hidden beast` number, since 2 + 8 + 607 + 6 + 2 + 8 + 9 + 0 + 5 + 8 + 5 + 6 = 666.

It is a super-2 number, since 2×28607628905856² (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 (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27533809785 + ... + 27533810823.

It is an arithmetic number, because the mean of its divisors is an integer number (60817056300).

Almost surely, 2^{28607628905856} is an apocalyptic number.

28607628905856 is a gapful number since it is divisible by the number (26) 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 28607628905856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58384374048000).

28607628905856 is an abundant number, since it is smaller than the sum of its proper divisors (88161119190144).

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

28607628905856 is a wasteful number, since it uses less digits than its factorization.

28607628905856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 28607628905856 in words is "twenty-eight trillion, six hundred seven billion, six hundred twenty-eight million, nine hundred five thousand, eight hundred fifty-six".