128106537228 has 336 divisors, whose sum is σ = 360594200736. Its totient is φ = 39739714560.

The previous prime is 128106537211. The next prime is 128106537239. The reversal of 128106537228 is 822735601821.

128106537228 is a `hidden beast` number, since 1 + 2 + 8 + 106 + 537 + 2 + 2 + 8 = 666.

It is a super-2 number, since 2×128106537228² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 245885608 + ... + 245886128.

It is an arithmetic number, because the mean of its divisors is an integer number (1073197026).

Almost surely, 2^128106537228 is an apocalyptic number.

128106537228 is a gapful number since it is divisible by the number (18) 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 128106537228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180297100368).

128106537228 is an abundant number, since it is smaller than the sum of its proper divisors (232487663508).

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

128106537228 is a wasteful number, since it uses less digits than its factorization.

128106537228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 128106537228 in words is "one hundred twenty-eight billion, one hundred six million, five hundred thirty-seven thousand, two hundred twenty-eight".