964728 has 24 divisors (see below), whose sum is σ = 2613000. Its totient is φ = 321552.

The previous prime is 964721. The next prime is 964753. The reversal of 964728 is 827469.

964728 is a `hidden beast` number, since 9 + 647 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×964728² = 1861400227968, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 9⁵ + 6³ + 7⁷ + 4⁷ + 2¹⁵ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 964692 and 964701.

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 964728.

It is not an unprimeable number, because it can be changed into a prime (964721) by changing a digit.

964728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 6628 + ... + 6771.

It is an arithmetic number, because the mean of its divisors is an integer number (108875).

2⁹⁶⁴⁷²⁸ is an apocalyptic number.

It is an amenable number.

964728 is an abundant number, since it is smaller than the sum of its proper divisors (1648272).

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

964728 is a wasteful number, since it uses less digits than its factorization.

964728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13411 (or 13404 counting only the distinct ones).

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

The square root of 964728 is about 982.2056811076. The cubic root of 964728 is about 98.8101657600.

The spelling of 964728 in words is "nine hundred sixty-four thousand, seven hundred twenty-eight".