949728 has 48 divisors (see below), whose sum is σ = 2688336. Its totient is φ = 291840.

The previous prime is 949699. The next prime is 949733. The reversal of 949728 is 827949.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 949728.

It is an unprimeable number.

949728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 868 + ... + 1628.

It is an arithmetic number, because the mean of its divisors is an integer number (56007).

2⁹⁴⁹⁷²⁸ 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 949728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344168).

949728 is an abundant number, since it is smaller than the sum of its proper divisors (1738608).

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

949728 is a wasteful number, since it uses less digits than its factorization.

949728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 779 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 949728 is about 974.5398914360. The cubic root of 949728 is about 98.2953742855.

The spelling of 949728 in words is "nine hundred forty-nine thousand, seven hundred twenty-eight".