42828733 has 2 divisors, whose sum is σ = 42828734. Its totient is φ = 42828732.

The previous prime is 42828727. The next prime is 42828767. The reversal of 42828733 is 33782824.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24621444 + 18207289 = 4962^2 + 4267^2 .

It is a cyclic number.

It is not a de Polignac number, because 42828733 - 2⁹ = 42828221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42828692 and 42828701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42828713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21414366 + 21414367.

It is an arithmetic number, because the mean of its divisors is an integer number (21414367).

Almost surely, 2^42828733 is an apocalyptic number.

It is an amenable number.

42828733 is a deficient number, since it is larger than the sum of its proper divisors (1).

42828733 is an equidigital number, since it uses as much as digits as its factorization.

42828733 is an evil number, because the sum of its binary digits is even.

The product of its digits is 64512, while the sum is 37.

The square root of 42828733 is about 6544.3665086852. The cubic root of 42828733 is about 349.8740580886.

It can be divided in two parts, 428 and 28733, that added together give a triangular number (29161 = T₂₄₁).

The spelling of 42828733 in words is "forty-two million, eight hundred twenty-eight thousand, seven hundred thirty-three".