10228618080 has 288 divisors, whose sum is σ = 36971756640. Its totient is φ = 2567946240.

The previous prime is 10228618079. The next prime is 10228618111. The reversal of 10228618080 is 8081682201.

10228618080 is a `hidden beast` number, since 10 + 2 + 28 + 618 + 0 + 8 + 0 = 666.

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

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, 4732200 + ... + 4734360.

It is an arithmetic number, because the mean of its divisors is an integer number (128374155).

Almost surely, 2^10228618080 is an apocalyptic number.

10228618080 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 10228618080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18485878320).

10228618080 is an abundant number, since it is smaller than the sum of its proper divisors (26743138560).

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

10228618080 is a wasteful number, since it uses less digits than its factorization.

10228618080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 10228618080 in words is "ten billion, two hundred twenty-eight million, six hundred eighteen thousand, eighty".