128148409928 has 144 divisors (see below), whose sum is σ = 308177202060. Its totient is φ = 49773588480.

The previous prime is 128148409877. The next prime is 128148409951. The reversal of 128148409928 is 829904841821.

It can be written as a sum of positive squares in 2 ways, for example, as 127319085124 + 829324804 = 356818^2 + 28798^2 .

It is a super-3 number, since 3×128148409928³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15980576 + ... + 15988592.

Almost surely, 2^128148409928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128148409928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154088601030).

128148409928 is an abundant number, since it is smaller than the sum of its proper divisors (180028792132).

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

128148409928 is a wasteful number, since it uses less digits than its factorization.

128148409928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8396 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 56.

The spelling of 128148409928 in words is "one hundred twenty-eight billion, one hundred forty-eight million, four hundred nine thousand, nine hundred twenty-eight".