65772828 has 108 divisors (see below), whose sum is σ = 189097272. Its totient is φ = 19103040.

The previous prime is 65772821. The next prime is 65772853. The reversal of 65772828 is 82827756.

Its product of digits (376320) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65772821) 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, 981651 + ... + 981717.

Almost surely, 2^65772828 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 65772828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94548636).

65772828 is an abundant number, since it is smaller than the sum of its proper divisors (123324444).

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

65772828 is a wasteful number, since it uses less digits than its factorization.

65772828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 120 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 65772828 is about 8110.0448827365. The cubic root of 65772828 is about 403.6598041260.

It can be divided in two parts, 657728 and 28, that added together give a palindrome (657756).

The spelling of 65772828 in words is "sixty-five million, seven hundred seventy-two thousand, eight hundred twenty-eight".