949256928 has 192 divisors, whose sum is σ = 2872074240. Its totient is φ = 304819200.

The previous prime is 949256923. The next prime is 949256933. The reversal of 949256928 is 829652949.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (949256923) and next prime (949256933).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2799360) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949256923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4498743 + ... + 4498953.

It is an arithmetic number, because the mean of its divisors is an integer number (14958720).

Almost surely, 2^949256928 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 949256928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436037120).

949256928 is an abundant number, since it is smaller than the sum of its proper divisors (1922817312).

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

949256928 is a wasteful number, since it uses less digits than its factorization.

949256928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 384 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 949256928 is about 30810.0134371928. The cubic root of 949256928 is about 982.7911985746.

The spelling of 949256928 in words is "nine hundred forty-nine million, two hundred fifty-six thousand, nine hundred twenty-eight".