128358972 has 96 divisors (see below), whose sum is σ = 392663040. Its totient is φ = 35484480.

The previous prime is 128358949. The next prime is 128358973. The reversal of 128358972 is 279853821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128358973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20698 + ... + 26174.

It is an arithmetic number, because the mean of its divisors is an integer number (4090240).

Almost surely, 2^128358972 is an apocalyptic number.

128358972 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 128358972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196331520).

128358972 is an abundant number, since it is smaller than the sum of its proper divisors (264304068).

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

128358972 is a wasteful number, since it uses less digits than its factorization.

128358972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 5520 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 128358972 is about 11329.5618626671. The cubic root of 128358972 is about 504.4391014562.

The spelling of 128358972 in words is "one hundred twenty-eight million, three hundred fifty-eight thousand, nine hundred seventy-two".