42804828 has 96 divisors (see below), whose sum is σ = 122411520. Its totient is φ = 12827520.

The previous prime is 42804821. The next prime is 42804833. The reversal of 42804828 is 82840824.

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 = 42804792 and 42804801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42804821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162625 + ... + 162887.

It is an arithmetic number, because the mean of its divisors is an integer number (1275120).

Almost surely, 2^42804828 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 42804828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61205760).

42804828 is an abundant number, since it is smaller than the sum of its proper divisors (79606692).

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

42804828 is a wasteful number, since it uses less digits than its factorization.

42804828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 42804828 is about 6542.5398737799. The cubic root of 42804828 is about 349.8089515169.

The spelling of 42804828 in words is "forty-two million, eight hundred four thousand, eight hundred twenty-eight".