866593728 has 560 divisors, whose sum is σ = 3469745664. Its totient is φ = 206530560.

The previous prime is 866593697. The next prime is 866593757. The reversal of 866593728 is 827395668.

It is a happy number.

866593728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5189101 + ... + 5189267.

Almost surely, 2^866593728 is an apocalyptic number.

866593728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866593728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734872832).

866593728 is an abundant number, since it is smaller than the sum of its proper divisors (2603151936).

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

866593728 is a wasteful number, since it uses less digits than its factorization.

866593728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 866593728 is about 29437.9640600365. The cubic root of 866593728 is about 953.3927546489.

The spelling of 866593728 in words is "eight hundred sixty-six million, five hundred ninety-three thousand, seven hundred twenty-eight".