42829488 has 120 divisors (see below), whose sum is σ = 130804128. Its totient is φ = 13003776.

The previous prime is 42829471. The next prime is 42829499. The reversal of 42829488 is 88492824.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 256381 + ... + 256547.

Almost surely, 2^42829488 is an apocalyptic number.

42829488 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 42829488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65402064).

42829488 is an abundant number, since it is smaller than the sum of its proper divisors (87974640).

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

42829488 is a wasteful number, since it uses less digits than its factorization.

42829488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 42829488 is about 6544.4241916306. The cubic root of 42829488 is about 349.8761139776.

The spelling of 42829488 in words is "forty-two million, eight hundred twenty-nine thousand, four hundred eighty-eight".