128429280 has 384 divisors, whose sum is σ = 534159360. Its totient is φ = 28200960.

The previous prime is 128429269. The next prime is 128429281. The reversal of 128429280 is 82924821.

It is a super-2 number, since 2×128429280² = 32988159922636800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128429281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 937372 + ... + 937508.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 2^128429280 is an apocalyptic number.

128429280 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 128429280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267079680).

128429280 is an abundant number, since it is smaller than the sum of its proper divisors (405730080).

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

128429280 is a wasteful number, since it uses less digits than its factorization.

128429280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 128429280 is about 11332.6642939778. The cubic root of 128429280 is about 504.5311859966.

It can be divided in two parts, 12842 and 9280, that added together give a palindrome (22122).

The spelling of 128429280 in words is "one hundred twenty-eight million, four hundred twenty-nine thousand, two hundred eighty".