42633528 has 64 divisors (see below), whose sum is σ = 124320000. Its totient is φ = 12178656.

The previous prime is 42633523. The next prime is 42633553. The reversal of 42633528 is 82533624.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42633523) 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, 5643 + ... + 10821.

It is an arithmetic number, because the mean of its divisors is an integer number (1942500).

Almost surely, 2^42633528 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 42633528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62160000).

42633528 is an abundant number, since it is smaller than the sum of its proper divisors (81686472).

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

42633528 is a wasteful number, since it uses less digits than its factorization.

42633528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5209 (or 5191 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 42633528 is about 6529.4355039314. The cubic root of 42633528 is about 349.3416959260.

The spelling of 42633528 in words is "forty-two million, six hundred thirty-three thousand, five hundred twenty-eight".