128192064 has 448 divisors, whose sum is σ = 491581440. Its totient is φ = 28385280.

The previous prime is 128192063. The next prime is 128192083. The reversal of 128192064 is 460291821.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (128192063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4420402 + ... + 4420430.

It is an arithmetic number, because the mean of its divisors is an integer number (1097280).

Almost surely, 2^128192064 is an apocalyptic number.

128192064 is a gapful number since it is divisible by the number (14) 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 128192064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245790720).

128192064 is an abundant number, since it is smaller than the sum of its proper divisors (363389376).

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

128192064 is a wasteful number, since it uses less digits than its factorization.

128192064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 128192064 is about 11322.1934270706. The cubic root of 128192064 is about 504.2203621915.

The spelling of 128192064 in words is "one hundred twenty-eight million, one hundred ninety-two thousand, sixty-four".