10228377600 has 864 divisors, whose sum is σ = 43994059200. Its totient is φ = 2322432000.

The previous prime is 10228377589. The next prime is 10228377619. The reversal of 10228377600 is 677382201.

10228377600 is a `hidden beast` number, since 1 + 0 + 228 + 377 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67737525 + ... + 67737675.

It is an arithmetic number, because the mean of its divisors is an integer number (50919050).

Almost surely, 2^10228377600 is an apocalyptic number.

10228377600 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 10228377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21997029600).

10228377600 is an abundant number, since it is smaller than the sum of its proper divisors (33765681600).

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

10228377600 is a wasteful number, since it uses less digits than its factorization.

10228377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10228377600 in words is "ten billion, two hundred twenty-eight million, three hundred seventy-seven thousand, six hundred".