442148928 has 112 divisors (see below), whose sum is σ = 1286987520. Its totient is φ = 133115904.

The previous prime is 442148921. The next prime is 442148933. The reversal of 442148928 is 829841244.

It is a self number, because there is not a number n which added to its sum of digits gives 442148928.

It is not an unprimeable number, because it can be changed into a prime (442148921) by changing a digit.

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, 115428 + ... + 119196.

It is an arithmetic number, because the mean of its divisors is an integer number (11490960).

Almost surely, 2^442148928 is an apocalyptic number.

442148928 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 442148928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643493760).

442148928 is an abundant number, since it is smaller than the sum of its proper divisors (844838592).

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

442148928 is a wasteful number, since it uses less digits than its factorization.

442148928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844 (or 3834 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 442148928 is about 21027.3376346127. The cubic root of 442148928 is about 761.8267046898.

The spelling of 442148928 in words is "four hundred forty-two million, one hundred forty-eight thousand, nine hundred twenty-eight".