128837280 has 192 divisors, whose sum is σ = 477042048. Its totient is φ = 28815360.

The previous prime is 128837263. The next prime is 128837287. The reversal of 128837280 is 82738821.

It is a super-3 number, since 3×128837280³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128837287) 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, 67702 + ... + 69578.

It is an arithmetic number, because the mean of its divisors is an integer number (2484594).

Almost surely, 2^128837280 is an apocalyptic number.

128837280 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 128837280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238521024).

128837280 is an abundant number, since it is smaller than the sum of its proper divisors (348204768).

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

128837280 is a wasteful number, since it uses less digits than its factorization.

128837280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 128837280 is about 11350.6510826472. The cubic root of 128837280 is about 505.0648937944.

The spelling of 128837280 in words is "one hundred twenty-eight million, eight hundred thirty-seven thousand, two hundred eighty".