42828066 has 36 divisors (see below), whose sum is σ = 98585682. Its totient is φ = 13434624.

The previous prime is 42828059. The next prime is 42828073. The reversal of 42828066 is 66082824.

It is an interprime number because it is at equal distance from previous prime (42828059) and next prime (42828073).

It can be written as a sum of positive squares in 3 ways, for example, as 39955041 + 2873025 = 6321^2 + 1695^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42828066.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1086 + ... + 9318.

Almost surely, 2^42828066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42828066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49292841).

42828066 is an abundant number, since it is smaller than the sum of its proper divisors (55757616).

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

42828066 is a wasteful number, since it uses less digits than its factorization.

42828066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 42828066 is about 6544.3155486269. The cubic root of 42828066 is about 349.8722418063.

The spelling of 42828066 in words is "forty-two million, eight hundred twenty-eight thousand, sixty-six".