42782432 has 96 divisors (see below), whose sum is σ = 106686720. Its totient is φ = 16404480.

The previous prime is 42782423. The next prime is 42782459. The reversal of 42782432 is 23428724.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238919 + ... + 239097.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 2^42782432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42782432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53343360).

42782432 is an abundant number, since it is smaller than the sum of its proper divisors (63904288).

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

42782432 is a wasteful number, since it uses less digits than its factorization.

42782432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 296 counting only the distinct ones).

The product of its digits is 21504, while the sum is 32.

The square root of 42782432 is about 6540.8280821315. The cubic root of 42782432 is about 349.7479327925.

The spelling of 42782432 in words is "forty-two million, seven hundred eighty-two thousand, four hundred thirty-two".