736828 has 12 divisors (see below), whose sum is σ = 1345680. Its totient is φ = 352352.

The previous prime is 736823. The next prime is 736843. The reversal of 736828 is 828637.

It is a happy number.

It is a d-powerful number, because it can be written as 7⁴ + 3¹¹ + 8 + 6³ + 2¹⁹ + 8⁵ .

736828 is a modest number, since divided by 828 gives 736 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 736793 and 736802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736823) by changing a digit.

736828 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 3 ways as a sum of consecutive naturals, for example, 3913 + ... + 4096.

It is an arithmetic number, because the mean of its divisors is an integer number (112140).

2⁷³⁶⁸²⁸ is an apocalyptic number.

It is an amenable number.

736828 is a deficient number, since it is larger than the sum of its proper divisors (608852).

736828 is a wasteful number, since it uses less digits than its factorization.

736828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8036 (or 8034 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 736828 is about 858.3868591725. The cubic root of 736828 is about 90.3209937015.

Subtracting 736828 from its reverse (828637), we obtain a square (91809 = 303²).

It can be divided in two parts, 7368 and 28, that added together give a square (7396 = 86²).

The spelling of 736828 in words is "seven hundred thirty-six thousand, eight hundred twenty-eight".