42833568 has 96 divisors (see below), whose sum is σ = 119508480. Its totient is φ = 13409280.

The previous prime is 42833509. The next prime is 42833573. The reversal of 42833568 is 86533824.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×42833568² = 3669429095221248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109918 + ... + 110306.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2^42833568 is an apocalyptic number.

42833568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42833568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59754240).

42833568 is an abundant number, since it is smaller than the sum of its proper divisors (76674912).

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

42833568 is a wasteful number, since it uses less digits than its factorization.

42833568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 462 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 42833568 is about 6544.7358999428. The cubic root of 42833568 is about 349.8872235292.

The spelling of 42833568 in words is "forty-two million, eight hundred thirty-three thousand, five hundred sixty-eight".