526828968 has 64 divisors (see below), whose sum is σ = 1469016000. Its totient is φ = 174937536.

The previous prime is 526828931. The next prime is 526828987. The reversal of 526828968 is 869828625.

526828968 is a `hidden beast` number, since 526 + 8 + 28 + 96 + 8 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53571 + ... + 62637.

It is an arithmetic number, because the mean of its divisors is an integer number (22953375).

Almost surely, 2^526828968 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 526828968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734508000).

526828968 is an abundant number, since it is smaller than the sum of its proper divisors (942187032).

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

526828968 is a wasteful number, since it uses less digits than its factorization.

526828968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9351 (or 9341 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 526828968 is about 22952.7551287422. The cubic root of 526828968 is about 807.6500338817.

The spelling of 526828968 in words is "five hundred twenty-six million, eight hundred twenty-eight thousand, nine hundred sixty-eight".