65993728 has 66 divisors (see below), whose sum is σ = 140768096. Its totient is φ = 30916608.

The previous prime is 65993701. The next prime is 65993729. The reversal of 65993728 is 82739956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65993729) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 295825 + ... + 296047.

Almost surely, 2^65993728 is an apocalyptic number.

65993728 is a gapful number since it is divisible by the number (68) 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 65993728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70384048).

65993728 is an abundant number, since it is smaller than the sum of its proper divisors (74774368).

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

65993728 is a wasteful number, since it uses less digits than its factorization.

65993728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 242 counting only the distinct ones).

The product of its digits is 816480, while the sum is 49.

The square root of 65993728 is about 8123.6523805490. The cubic root of 65993728 is about 404.1112003146. Note that the first 3 decimals are identical.

The spelling of 65993728 in words is "sixty-five million, nine hundred ninety-three thousand, seven hundred twenty-eight".