128362920 has 256 divisors, whose sum is σ = 475891200. Its totient is φ = 27033600.

The previous prime is 128362919. The next prime is 128362933. The reversal of 128362920 is 29263821.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1270870 + ... + 1270970.

It is an arithmetic number, because the mean of its divisors is an integer number (1858950).

Almost surely, 2^128362920 is an apocalyptic number.

128362920 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 128362920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237945600).

128362920 is an abundant number, since it is smaller than the sum of its proper divisors (347528280).

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

128362920 is a wasteful number, since it uses less digits than its factorization.

128362920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 128362920 is about 11329.7360957791. The cubic root of 128362920 is about 504.4442731636. Note that the first 3 decimals are identical.

Subtracting from 128362920 its reverse (29263821), we obtain a palindrome (99099099).

The spelling of 128362920 in words is "one hundred twenty-eight million, three hundred sixty-two thousand, nine hundred twenty".