107628448320 has 168 divisors, whose sum is σ = 377182401336. Its totient is φ = 28159352832.

The previous prime is 107628448303. The next prime is 107628448321. The reversal of 107628448320 is 23844826701.

It is a happy number.

107628448320 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 284 + 48 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18504705024 + 89123743296 = 136032^2 + 298536^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (107628448321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199917 + ... + 505196.

Almost surely, 2^107628448320 is an apocalyptic number.

107628448320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107628448320 is an abundant number, since it is smaller than the sum of its proper divisors (269553953016).

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

107628448320 is a wasteful number, since it uses less digits than its factorization.

107628448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705189 (or 705176 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 107628448320 in words is "one hundred seven billion, six hundred twenty-eight million, four hundred forty-eight thousand, three hundred twenty".