824101428 has 48 divisors (see below), whose sum is σ = 1940754816. Its totient is φ = 272163840.

The previous prime is 824101409. The next prime is 824101451.

824101428 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 824101395 and 824101404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673225 + ... + 674447.

It is an arithmetic number, because the mean of its divisors is an integer number (40432392).

Almost surely, 2^824101428 is an apocalyptic number.

It is an amenable number.

824101428 is an abundant number, since it is smaller than the sum of its proper divisors (1116653388).

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

824101428 is a wasteful number, since it uses less digits than its factorization.

824101428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 824101428 is about 28707.1668403554. The cubic root of 824101428 is about 937.5480946704.

It can be divided in two parts, 82410 and 1428, that added together give a palindrome (83838).

The spelling of 824101428 in words is "eight hundred twenty-four million, one hundred one thousand, four hundred twenty-eight".