946728 has 48 divisors (see below), whose sum is σ = 2664480. Its totient is φ = 314928.

The previous prime is 946727. The next prime is 946733. The reversal of 946728 is 827649.

It is a Cunningham number, because it is equal to 973²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 946692 and 946701.

It is not an unprimeable number, because it can be changed into a prime (946727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1701 + ... + 2187.

It is an arithmetic number, because the mean of its divisors is an integer number (55510).

2⁹⁴⁶⁷²⁸ 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 946728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332240).

946728 is an abundant number, since it is smaller than the sum of its proper divisors (1717752).

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

946728 is a wasteful number, since it uses less digits than its factorization.

946728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 492 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 946728 is about 972.9994861252. Note that the first 3 decimals coincide. The cubic root of 946728 is about 98.1917666687.

The spelling of 946728 in words is "nine hundred forty-six thousand, seven hundred twenty-eight".