42953328 has 200 divisors, whose sum is σ = 142598016. Its totient is φ = 12355200.

The previous prime is 42953311. The next prime is 42953329. The reversal of 42953328 is 82335924.

42953328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42953292 and 42953301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42953329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327823 + ... + 327953.

Almost surely, 2^42953328 is an apocalyptic number.

42953328 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 42953328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71299008).

42953328 is an abundant number, since it is smaller than the sum of its proper divisors (99644688).

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

42953328 is a wasteful number, since it uses less digits than its factorization.

42953328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 42953328 is about 6553.8788514894. The cubic root of 42953328 is about 350.2130077535.

The spelling of 42953328 in words is "forty-two million, nine hundred fifty-three thousand, three hundred twenty-eight".