42294528 has 144 divisors (see below), whose sum is σ = 129998400. Its totient is φ = 13547520.

The previous prime is 42294523. The next prime is 42294569. The reversal of 42294528 is 82549224.

42294528 is a `hidden beast` number, since 42 + 2 + 94 + 528 = 666.

42294528 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 42294492 and 42294501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42294523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200343 + ... + 200553.

Almost surely, 2^42294528 is an apocalyptic number.

42294528 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 42294528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64999200).

42294528 is an abundant number, since it is smaller than the sum of its proper divisors (87703872).

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

42294528 is a wasteful number, since it uses less digits than its factorization.

42294528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 42294528 is about 6503.4243287671. The cubic root of 42294528 is about 348.4133020511.

The spelling of 42294528 in words is "forty-two million, two hundred ninety-four thousand, five hundred twenty-eight".