128585052 has 36 divisors (see below), whose sum is σ = 326702376. Its totient is φ = 42641760.

The previous prime is 128585033. The next prime is 128585053. The reversal of 128585052 is 250585821.

128585052 is a `hidden beast` number, since 1 + 28 + 585 + 0 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 128584998 and 128585016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128585053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1974 + ... + 16157.

It is an arithmetic number, because the mean of its divisors is an integer number (9075066).

Almost surely, 2^128585052 is an apocalyptic number.

128585052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128585052 is an abundant number, since it is smaller than the sum of its proper divisors (198117324).

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

128585052 is a wasteful number, since it uses less digits than its factorization.

128585052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18338 (or 18333 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 128585052 is about 11339.5349110975. The cubic root of 128585052 is about 504.7350857060.

The spelling of 128585052 in words is "one hundred twenty-eight million, five hundred eighty-five thousand, fifty-two".