42838632 has 40 divisors (see below), whose sum is σ = 119989650. Its totient is φ = 14279328.

The previous prime is 42838603. The next prime is 42838633. The reversal of 42838632 is 23683824.

It can be written as a sum of positive squares in only one way, i.e., 33802596 + 9036036 = 5814^2 + 3006^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (42838633) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 32407 + ... + 33702.

Almost surely, 2^42838632 is an apocalyptic number.

It is an amenable number.

42838632 is an abundant number, since it is smaller than the sum of its proper divisors (77151018).

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

42838632 is a wasteful number, since it uses less digits than its factorization.

42838632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66127 (or 66114 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 42838632 is about 6545.1227643185. The cubic root of 42838632 is about 349.9010114620.

It can be divided in two parts, 428 and 38632, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 42838632 in words is "forty-two million, eight hundred thirty-eight thousand, six hundred thirty-two".