42723828 has 96 divisors (see below), whose sum is σ = 130744320. Its totient is φ = 11806560.

The previous prime is 42723817. The next prime is 42723829. The reversal of 42723828 is 82832724.

42723828 is a `hidden beast` number, since 4 + 272 + 382 + 8 = 666.

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 = 42723792 and 42723801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42723829) 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, 22525 + ... + 24347.

It is an arithmetic number, because the mean of its divisors is an integer number (1361920).

Almost surely, 2^42723828 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 42723828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65372160).

42723828 is an abundant number, since it is smaller than the sum of its proper divisors (88020492).

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

42723828 is a wasteful number, since it uses less digits than its factorization.

42723828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1866 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 42723828 is about 6536.3466860319. The cubic root of 42723828 is about 349.5881632104.

It can be divided in two parts, 4272 and 3828, that added together give a square (8100 = 90²).

The spelling of 42723828 in words is "forty-two million, seven hundred twenty-three thousand, eight hundred twenty-eight".