728962 has 24 divisors (see below), whose sum is σ = 1254204. Its totient is φ = 315744.

The previous prime is 728953. The next prime is 728969. The reversal of 728962 is 269827.

728962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 724201 + 4761 = 851^2 + 69^2 .

728962 is a modest number, since divided by 962 gives 728 as remainder.

It is not an unprimeable number, because it can be changed into a prime (728969) by changing a digit.

728962 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 11 ways as a sum of consecutive naturals, for example, 13728 + ... + 13780.

2⁷²⁸⁹⁶² is an apocalyptic number.

728962 is a deficient number, since it is larger than the sum of its proper divisors (525242).

728962 is a wasteful number, since it uses less digits than its factorization.

728962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 728962 is about 853.7927148904. The cubic root of 728962 is about 89.9984361868.

It can be divided in two parts, 728 and 962, that multiplied together give a triangular number (700336 = T₁₁₈₃).

The spelling of 728962 in words is "seven hundred twenty-eight thousand, nine hundred sixty-two".