949840128 has 144 divisors (see below), whose sum is σ = 2832984000. Its totient is φ = 313896960.

The previous prime is 949840123. The next prime is 949840139. The reversal of 949840128 is 821048949.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×949840128³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (949840123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904948 + ... + 905996.

It is an arithmetic number, because the mean of its divisors is an integer number (19673500).

Almost surely, 2^949840128 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 949840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416492000).

949840128 is an abundant number, since it is smaller than the sum of its proper divisors (1883143872).

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

949840128 is a wasteful number, since it uses less digits than its factorization.

949840128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 949840128 is about 30819.4764394206. The cubic root of 949840128 is about 982.9924249132.

The spelling of 949840128 in words is "nine hundred forty-nine million, eight hundred forty thousand, one hundred twenty-eight".