65628738 has 96 divisors (see below), whose sum is σ = 179755200. Its totient is φ = 17635968.

The previous prime is 65628733. The next prime is 65628749. The reversal of 65628738 is 83782656.

65628738 is a `hidden beast` number, since 6 + 562 + 87 + 3 + 8 = 666.

65628738 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 65628693 and 65628702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65628733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44253 + ... + 45711.

It is an arithmetic number, because the mean of its divisors is an integer number (1872450).

Almost surely, 2^65628738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65628738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89877600).

65628738 is an abundant number, since it is smaller than the sum of its proper divisors (114126462).

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

65628738 is a wasteful number, since it uses less digits than its factorization.

65628738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1488 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 65628738 is about 8101.1565840934. The cubic root of 65628738 is about 403.3648197687.

It can be divided in two parts, 65628 and 738, that added together give a palindrome (66366).

The spelling of 65628738 in words is "sixty-five million, six hundred twenty-eight thousand, seven hundred thirty-eight".