536171328 has 378 divisors, whose sum is σ = 1977564498. Its totient is φ = 138378240.

The previous prime is 536171299. The next prime is 536171351. The reversal of 536171328 is 823171635.

536171328 is a `hidden beast` number, since 5 + 3 + 617 + 1 + 32 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 413227584 + 122943744 = 20328^2 + 11088^2 .

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

Its product of digits (30240) is a multiple of the sum of its prime divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 536171292 and 536171301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3415026 + ... + 3415182.

Almost surely, 2^536171328 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 536171328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988782249).

536171328 is an abundant number, since it is smaller than the sum of its proper divisors (1441393170).

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

536171328 is a wasteful number, since it uses less digits than its factorization.

536171328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 536171328 is about 23155.3736311898. The cubic root of 536171328 is about 812.3961602365.

It can be divided in two parts, 53617 and 1328, that added together give a palindrome (54945).

The spelling of 536171328 in words is "five hundred thirty-six million, one hundred seventy-one thousand, three hundred twenty-eight".