128538360 has 128 divisors (see below), whose sum is σ = 453729600. Its totient is φ = 32256000.

The previous prime is 128538341. The next prime is 128538367. The reversal of 128538360 is 63835821.

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 not an unprimeable number, because it can be changed into a prime (128538367) 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, 14860 + ... + 21860.

Almost surely, 2^128538360 is an apocalyptic number.

128538360 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 128538360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226864800).

128538360 is an abundant number, since it is smaller than the sum of its proper divisors (325191240).

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

128538360 is a wasteful number, since it uses less digits than its factorization.

128538360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7038 (or 7028 counting only the distinct ones).

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

The square root of 128538360 is about 11337.4759095665. The cubic root of 128538360 is about 504.6739849186.

The spelling of 128538360 in words is "one hundred twenty-eight million, five hundred thirty-eight thousand, three hundred sixty".