65333628 has 60 divisors (see below), whose sum is σ = 179801160. Its totient is φ = 20629728.

The previous prime is 65333627. The next prime is 65333629. The reversal of 65333628 is 82633356.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (65333627) and next prime (65333629).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 65333592 and 65333601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65333627) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 850 + ... + 11462.

It is an arithmetic number, because the mean of its divisors is an integer number (2996686).

Almost surely, 2^65333628 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 65333628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89900580).

65333628 is an abundant number, since it is smaller than the sum of its proper divisors (114467532).

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

65333628 is a wasteful number, since it uses less digits than its factorization.

65333628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10648 (or 10637 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 65333628 is about 8082.9219964070. The cubic root of 65333628 is about 402.7593133724.

The spelling of 65333628 in words is "sixty-five million, three hundred thirty-three thousand, six hundred twenty-eight".