42778632 has 96 divisors (see below), whose sum is σ = 118584000. Its totient is φ = 12849408.

The previous prime is 42778627. The next prime is 42778663. The reversal of 42778632 is 23687724.

It is a super-2 number, since 2×42778632² = 3660022711582848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214869 + ... + 215067.

It is an arithmetic number, because the mean of its divisors is an integer number (1235250).

Almost surely, 2^42778632 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 42778632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59292000).

42778632 is an abundant number, since it is smaller than the sum of its proper divisors (75805368).

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

42778632 is a wasteful number, since it uses less digits than its factorization.

42778632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 270 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 42778632 is about 6540.5375925837. The cubic root of 42778632 is about 349.7375774400.

The spelling of 42778632 in words is "forty-two million, seven hundred seventy-eight thousand, six hundred thirty-two".