965228448 has 96 divisors (see below), whose sum is σ = 2704472064. Its totient is φ = 300367872.

The previous prime is 965228447. The next prime is 965228471. The reversal of 965228448 is 844822569.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 965228397 and 965228406.

It is not an unprimeable number, because it can be changed into a prime (965228441) 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 15 ways as a sum of consecutive naturals, for example, 204936 + ... + 209592.

It is an arithmetic number, because the mean of its divisors is an integer number (28171584).

Almost surely, 2^965228448 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 965228448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352236032).

965228448 is an abundant number, since it is smaller than the sum of its proper divisors (1739243616).

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

965228448 is a wasteful number, since it uses less digits than its factorization.

965228448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814 (or 4806 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 965228448 is about 31068.1259170874. The cubic root of 965228448 is about 988.2724857218.

The spelling of 965228448 in words is "nine hundred sixty-five million, two hundred twenty-eight thousand, four hundred forty-eight".