128508192 has 72 divisors (see below), whose sum is σ = 368225676. Its totient is φ = 42510336.

The previous prime is 128508173. The next prime is 128508197. The reversal of 128508192 is 291805821.

It can be written as a sum of positive squares in 2 ways, for example, as 121088016 + 7420176 = 11004^2 + 2724^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×128508192² = 33028710822217728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (128508197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37828 + ... + 41084.

Almost surely, 2^128508192 is an apocalyptic number.

128508192 is a gapful number since it is divisible by the number (12) 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 128508192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184112838).

128508192 is an abundant number, since it is smaller than the sum of its proper divisors (239717484).

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

128508192 is a wasteful number, since it uses less digits than its factorization.

128508192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 128508192 is about 11336.1453766260. The cubic root of 128508192 is about 504.6344994399.

The spelling of 128508192 in words is "one hundred twenty-eight million, five hundred eight thousand, one hundred ninety-two".