948144128 has 96 divisors (see below), whose sum is σ = 2033511480. Its totient is φ = 440401920.

The previous prime is 948144103. The next prime is 948144139. The reversal of 948144128 is 821441849.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 776848384 + 171295744 = 27872^2 + 13088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3934088 + ... + 3934328.

Almost surely, 2^948144128 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 948144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016755740).

948144128 is an abundant number, since it is smaller than the sum of its proper divisors (1085367352).

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

948144128 is a wasteful number, since it uses less digits than its factorization.

948144128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 373 counting only the distinct ones).

The product of its digits is 73728, while the sum is 41.

The square root of 948144128 is about 30791.9490776404. The cubic root of 948144128 is about 982.4070111649.

The spelling of 948144128 in words is "nine hundred forty-eight million, one hundred forty-four thousand, one hundred twenty-eight".