128401408 has 60 divisors (see below), whose sum is σ = 272490372. Its totient is φ = 60293120.

The previous prime is 128401363. The next prime is 128401417. The reversal of 128401408 is 804104821.

It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 57032704 = 8448^2 + 7552^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 278298 + ... + 278758.

Almost surely, 2^128401408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136245186).

128401408 is an abundant number, since it is smaller than the sum of its proper divisors (144088964).

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

128401408 is an frugal number, since it uses more digits than its factorization.

128401408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 128401408 is about 11331.4345075988. The cubic root of 128401408 is about 504.4946852064.

It can be divided in two parts, 128 and 401408, that multiplied together give a square (51380224 = 7168²).

The spelling of 128401408 in words is "one hundred twenty-eight million, four hundred one thousand, four hundred eight".