952728 has 64 divisors (see below), whose sum is σ = 2799360. Its totient is φ = 264576.

The previous prime is 952709. The next prime is 952739. The reversal of 952728 is 827259.

It is a congruent number.

It is an unprimeable number.

952728 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 15 ways as a sum of consecutive naturals, for example, 8851 + ... + 8957.

It is an arithmetic number, because the mean of its divisors is an integer number (43740).

2⁹⁵²⁷²⁸ 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 952728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399680).

952728 is an abundant number, since it is smaller than the sum of its proper divisors (1846632).

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

952728 is a wasteful number, since it uses less digits than its factorization.

952728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 952728 is about 976.0778657464. The cubic root of 952728 is about 98.3987639477.

It can be divided in two parts, 9 and 52728, that multiplied together give a cube (474552 = 78³).

The spelling of 952728 in words is "nine hundred fifty-two thousand, seven hundred twenty-eight".