95288448 has 64 divisors (see below), whose sum is σ = 264139200. Its totient is φ = 30379008.

The previous prime is 95288441. The next prime is 95288449. The reversal of 95288448 is 84488259.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 95288397 and 95288406.

It is not an unprimeable number, because it can be changed into a prime (95288441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3438 + ... + 14226.

It is an arithmetic number, because the mean of its divisors is an integer number (4127175).

Almost surely, 2^95288448 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 95288448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132069600).

95288448 is an abundant number, since it is smaller than the sum of its proper divisors (168850752).

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

95288448 is a wasteful number, since it uses less digits than its factorization.

95288448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10829 (or 10817 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 95288448 is about 9761.5801999471. The cubic root of 95288448 is about 456.7516075031.

The spelling of 95288448 in words is "ninety-five million, two hundred eighty-eight thousand, four hundred forty-eight".