526840128 has 168 divisors, whose sum is σ = 1569110400. Its totient is φ = 168892416.

The previous prime is 526840117. The next prime is 526840141. The reversal of 526840128 is 821048625.

526840128 is a `hidden beast` number, since 526 + 8 + 4 + 0 + 128 = 666.

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 = 526840092 and 526840101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2204233 + ... + 2204471.

Almost surely, 2^526840128 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 526840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784555200).

526840128 is an abundant number, since it is smaller than the sum of its proper divisors (1042270272).

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

526840128 is a wasteful number, since it uses less digits than its factorization.

526840128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 526840128 is about 22952.9982355247. The cubic root of 526840128 is about 807.6557367513.

The spelling of 526840128 in words is "five hundred twenty-six million, eight hundred forty thousand, one hundred twenty-eight".