27628826000 has 80 divisors (see below), whose sum is σ = 67217150208. Its totient is φ = 10983600000.

The previous prime is 27628825993. The next prime is 27628826011. The reversal of 27628826000 is 62882672.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×27628826000² (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 283625 + ... + 368375.

Almost surely, 2^27628826000 is an apocalyptic number.

27628826000 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 27628826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33608575104).

27628826000 is an abundant number, since it is smaller than the sum of its proper divisors (39588324208).

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

27628826000 is a wasteful number, since it uses less digits than its factorization.

27628826000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84937 (or 84921 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 27628826000 in words is "twenty-seven billion, six hundred twenty-eight million, eight hundred twenty-six thousand".