852128607 has 32 divisors (see below), whose sum is σ = 1257096960. Its totient is φ = 509137920.

The previous prime is 852128569. The next prime is 852128639. The reversal of 852128607 is 706821258.

It is not a de Polignac number, because 852128607 - 2¹⁰ = 852127583 is a prime.

It is a super-2 number, since 2×852128607² = 1452246325735520898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852138607) 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, 1629048 + ... + 1629570.

It is an arithmetic number, because the mean of its divisors is an integer number (39284280).

Almost surely, 2^852128607 is an apocalyptic number.

852128607 is a deficient number, since it is larger than the sum of its proper divisors (404968353).

852128607 is a wasteful number, since it uses less digits than its factorization.

852128607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143.

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 852128607 is about 29191.2419571350. The cubic root of 852128607 is about 948.0583081603.

It can be divided in two parts, 8521 and 28607, that added together give a triangular number (37128 = T₂₇₂).

The spelling of 852128607 in words is "eight hundred fifty-two million, one hundred twenty-eight thousand, six hundred seven".