10689228000 has 288 divisors, whose sum is σ = 41386336992. Its totient is φ = 2591232000.

The previous prime is 10689227987. The next prime is 10689228047. The reversal of 10689228000 is 82298601.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10689228000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382504 + ... + 409496.

It is an arithmetic number, because the mean of its divisors is an integer number (143702559).

Almost surely, 2^10689228000 is an apocalyptic number.

10689228000 is a gapful number since it is divisible by the number (10) 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 10689228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20693168496).

10689228000 is an abundant number, since it is smaller than the sum of its proper divisors (30697108992).

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

10689228000 is a wasteful number, since it uses less digits than its factorization.

10689228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27035 (or 27014 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10689228000 in words is "ten billion, six hundred eighty-nine million, two hundred twenty-eight thousand".