128410920 has 192 divisors, whose sum is σ = 472530240. Its totient is φ = 31104000.

The previous prime is 128410907. The next prime is 128410957. The reversal of 128410920 is 29014821.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 106320 + ... + 107520.

It is an arithmetic number, because the mean of its divisors is an integer number (2461095).

Almost surely, 2^128410920 is an apocalyptic number.

128410920 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 128410920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236265120).

128410920 is an abundant number, since it is smaller than the sum of its proper divisors (344119320).

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

128410920 is a wasteful number, since it uses less digits than its factorization.

128410920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 128410920 is about 11331.8542172056. The cubic root of 128410920 is about 504.5071425853.

The spelling of 128410920 in words is "one hundred twenty-eight million, four hundred ten thousand, nine hundred twenty".