128853360 has 240 divisors, whose sum is σ = 467970048. Its totient is φ = 31680000.

The previous prime is 128853343. The next prime is 128853371. The reversal of 128853360 is 63358821.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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, 513235 + ... + 513485.

Almost surely, 2^128853360 is an apocalyptic number.

128853360 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 128853360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

128853360 is an abundant number, since it is smaller than the sum of its proper divisors (339116688).

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

128853360 is a wasteful number, since it uses less digits than its factorization.

128853360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 128853360 is about 11351.3593899585. The cubic root of 128853360 is about 505.0859050670.

The spelling of 128853360 in words is "one hundred twenty-eight million, eight hundred fifty-three thousand, three hundred sixty".