128349000 has 192 divisors, whose sum is σ = 467616240. Its totient is φ = 31564800.

The previous prime is 128348981. The next prime is 128349017. The reversal of 128349000 is 943821.

It can be written as a sum of positive squares in 8 ways, for example, as 2056356 + 126292644 = 1434^2 + 11238^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116452 + ... + 117548.

Almost surely, 2^128349000 is an apocalyptic number.

128349000 is a gapful number since it is divisible by the number (10) 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 128349000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233808120).

128349000 is an abundant number, since it is smaller than the sum of its proper divisors (339267240).

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

128349000 is a wasteful number, since it uses less digits than its factorization.

128349000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 128349000 is about 11329.1217664919. The cubic root of 128349000 is about 504.4260380998.

The spelling of 128349000 in words is "one hundred twenty-eight million, three hundred forty-nine thousand".