107283228000 has 288 divisors, whose sum is σ = 380582066592. Its totient is φ = 26407680000.

The previous prime is 107283227993. The next prime is 107283228001. The reversal of 107283228000 is 822382701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107283228001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2001550 + ... + 2054450.

It is an arithmetic number, because the mean of its divisors is an integer number (1321465509).

Almost surely, 2^107283228000 is an apocalyptic number.

107283228000 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 107283228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190291033296).

107283228000 is an abundant number, since it is smaller than the sum of its proper divisors (273298838592).

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

107283228000 is a wasteful number, since it uses less digits than its factorization.

107283228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52955 (or 52924 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 107283228000 in words is "one hundred seven billion, two hundred eighty-three million, two hundred twenty-eight thousand".