866745828 has 144 divisors (see below), whose sum is σ = 2430618736. Its totient is φ = 258785280.

The previous prime is 866745827. The next prime is 866745829. The reversal of 866745828 is 828547668.

It is an interprime number because it is at equal distance from previous prime (866745827) and next prime (866745829).

It can be written as a sum of positive squares in 8 ways, for example, as 511121664 + 355624164 = 22608^2 + 18858^2 .

It is not an unprimeable number, because it can be changed into a prime (866745827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2769000 + ... + 2769312.

Almost surely, 2^866745828 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 866745828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215309368).

866745828 is an abundant number, since it is smaller than the sum of its proper divisors (1563872908).

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

866745828 is a wasteful number, since it uses less digits than its factorization.

866745828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 489 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 866745828 is about 29440.5473454554. The cubic root of 866745828 is about 953.4485295564.

The spelling of 866745828 in words is "eight hundred sixty-six million, seven hundred forty-five thousand, eight hundred twenty-eight".