824161428 has 36 divisors (see below), whose sum is σ = 2205845460. Its totient is φ = 258560256.

The previous prime is 824161427. The next prime is 824161451.

824161428 is nontrivially palindromic in base 10.

824161428 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 378613764 + 445547664 = 19458^2 + 21108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 824161392 and 824161401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824161427) 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, 672723 + ... + 673946.

It is an arithmetic number, because the mean of its divisors is an integer number (61273485).

Almost surely, 2^824161428 is an apocalyptic number.

It is an amenable number.

824161428 is an abundant number, since it is smaller than the sum of its proper divisors (1381684032).

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

824161428 is a wasteful number, since it uses less digits than its factorization.

824161428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346696 (or 1346691 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 824161428 is about 28708.2118565403. The cubic root of 824161428 is about 937.5708473392.

The spelling of 824161428 in words is "eight hundred twenty-four million, one hundred sixty-one thousand, four hundred twenty-eight".