128627730 has 256 divisors, whose sum is σ = 447897600. Its totient is φ = 25470720.

The previous prime is 128627717. The next prime is 128627743. The reversal of 128627730 is 37726821.

128627730 is a `hidden beast` number, since 1 + 28 + 627 + 7 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (128627717) and next prime (128627743).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 478036 + ... + 478304.

It is an arithmetic number, because the mean of its divisors is an integer number (1749600).

Almost surely, 2^128627730 is an apocalyptic number.

128627730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128627730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223948800).

128627730 is an abundant number, since it is smaller than the sum of its proper divisors (319269870).

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

128627730 is a wasteful number, since it uses less digits than its factorization.

128627730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

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

The square root of 128627730 is about 11341.4165781881. The cubic root of 128627730 is about 504.7909208670.

Subtracting from 128627730 its reverse (37726821), we obtain a palindrome (90900909).

The spelling of 128627730 in words is "one hundred twenty-eight million, six hundred twenty-seven thousand, seven hundred thirty".