128583000 has 384 divisors, whose sum is σ = 538312320. Its totient is φ = 26956800.

The previous prime is 128582989. The next prime is 128583001. The reversal of 128583000 is 385821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128583001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 818922 + ... + 819078.

It is an arithmetic number, because the mean of its divisors is an integer number (1401855).

Almost surely, 2^128583000 is an apocalyptic number.

128583000 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 128583000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269156160).

128583000 is an abundant number, since it is smaller than the sum of its proper divisors (409729320).

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

128583000 is a wasteful number, since it uses less digits than its factorization.

128583000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 128583000 is about 11339.4444308352. Note that the first 4 decimals coincide. The cubic root of 128583000 is about 504.7324007856.

The spelling of 128583000 in words is "one hundred twenty-eight million, five hundred eighty-three thousand".