736428 has 48 divisors (see below), whose sum is σ = 2145024. Its totient is φ = 191040.

The previous prime is 736409. The next prime is 736429. The reversal of 736428 is 824637.

It is a junction number, because it is equal to n+sod(n) for n = 736395 and 736404.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 736428.

It is not an unprimeable number, because it can be changed into a prime (736429) by changing a digit.

736428 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 15 ways as a sum of consecutive naturals, for example, 526 + ... + 1322.

It is an arithmetic number, because the mean of its divisors is an integer number (44688).

2⁷³⁶⁴²⁸ 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 736428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072512).

736428 is an abundant number, since it is smaller than the sum of its proper divisors (1408596).

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

736428 is a wasteful number, since it uses less digits than its factorization.

736428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 820 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 736428 is about 858.1538323634. The cubic root of 736428 is about 90.3046466314.

Subtracting 736428 from its reverse (824637), we obtain a square (88209 = 297²).

The spelling of 736428 in words is "seven hundred thirty-six thousand, four hundred twenty-eight".