893116728 has 144 divisors (see below), whose sum is σ = 2834325000. Its totient is φ = 253314432.

The previous prime is 893116723. The next prime is 893116729. The reversal of 893116728 is 827611398.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (893116723) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 524823 + ... + 526521.

Almost surely, 2^893116728 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 893116728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417162500).

893116728 is an abundant number, since it is smaller than the sum of its proper divisors (1941208272).

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

893116728 is a wasteful number, since it uses less digits than its factorization.

893116728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1860 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 893116728 is about 29885.0586079399. The cubic root of 893116728 is about 963.0217028458.

The spelling of 893116728 in words is "eight hundred ninety-three million, one hundred sixteen thousand, seven hundred twenty-eight".