662689728 has 224 divisors, whose sum is σ = 2048256000. Its totient is φ = 209848320.

The previous prime is 662689723. The next prime is 662689739. The reversal of 662689728 is 827986266.

662689728 is a `hidden beast` number, since 6 + 626 + 8 + 9 + 7 + 2 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (662689723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4767483 + ... + 4767621.

It is an arithmetic number, because the mean of its divisors is an integer number (9144000).

Almost surely, 2^662689728 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 662689728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024128000).

662689728 is an abundant number, since it is smaller than the sum of its proper divisors (1385566272).

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

662689728 is a wasteful number, since it uses less digits than its factorization.

662689728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 662689728 is about 25742.7606911147. The cubic root of 662689728 is about 871.8399111327.

The spelling of 662689728 in words is "six hundred sixty-two million, six hundred eighty-nine thousand, seven hundred twenty-eight".