948928032 has 216 divisors, whose sum is σ = 3090614436. Its totient is φ = 274489344.

The previous prime is 948928031. The next prime is 948928033. The reversal of 948928032 is 230829849.

948928032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (948928031) and next prime (948928033).

It can be written as a sum of positive squares in 6 ways, for example, as 733543056 + 215384976 = 27084^2 + 14676^2 .

It is not an unprimeable number, because it can be changed into a prime (948928031) 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, 1081578 + ... + 1082454.

Almost surely, 2^948928032 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 948928032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545307218).

948928032 is an abundant number, since it is smaller than the sum of its proper divisors (2141686404).

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

948928032 is a wasteful number, since it uses less digits than its factorization.

948928032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 948928032 is about 30804.6754892825. The cubic root of 948928032 is about 982.6776805084.

The spelling of 948928032 in words is "nine hundred forty-eight million, nine hundred twenty-eight thousand, thirty-two".