42958848 has 128 divisors (see below), whose sum is σ = 125827200. Its totient is φ = 12976128.

The previous prime is 42958843. The next prime is 42958873. The reversal of 42958848 is 84885924.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 42958797 and 42958806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42958843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1867765 + ... + 1867787.

It is an arithmetic number, because the mean of its divisors is an integer number (983025).

Almost surely, 2^42958848 is an apocalyptic number.

42958848 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 42958848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62913600).

42958848 is an abundant number, since it is smaller than the sum of its proper divisors (82868352).

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

42958848 is an equidigital number, since it uses as much as digits as its factorization.

42958848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 42958848 is about 6554.2999626200. The cubic root of 42958848 is about 350.2280092531.

The spelling of 42958848 in words is "forty-two million, nine hundred fifty-eight thousand, eight hundred forty-eight".